Talks at international conferences
Martin Vohralík


2024

1.
11 September 2024 PDF icon
Adaptive regularization and linearization for nonsmooth and degenerate problems
SIAM Geosciences Webinar
2.
12 June 2024 PDF icon
A posteriori error estimates robust with respect to nonlinearities and orthogonal decomposition based on iterative linearization
10th International Conference on Computational Methods in Applied Mathematics, Bonn, Germany 
3.
11 June 2024 PDF icon
p-robust global–local equivalence, p-stable local (commuting) projectors, and optimal elementwise hp approximation estimates in H1(Ω) and H(div,Ω)
10th International Conference on Computational Methods in Applied Mathematics, Bonn, Germany 
4.
05 June 2024
A posteriori error estimates and local adaptive steering for nonoverlapping domain decomposition in saddle-point mixed formulations
ECCOMAS 2024, Lisbon , Portugal (minisymposium “Domain decomposition and time-splitting methods for multiscale multiphysics problems”)
5.
21 May 2024 PDF icon
Potential and flux reconstructions for optimal a priori and a posteriori error estimates
Homological Perspective on Splines and Finite Elements, BIRS, Kelowna, Canada
6.
01 May 2024 PDF icon
An application of the Grönwall lemma avoiding exponential of the final time: a posteriori error estimates for the Stefan and Richards problems
Mathematical Models and Numerical Methods for Multiphysics Systems, Pittsburgh, U.S.A. 
7.
25 April 2024
Survey your situation and act adaptively. Reliable and efficient numerical algorithms for environmental and energy applications
Czech–French Science Meetup, Paris
8.
26 March 2024 PDF icon
On the derivation of guaranteed and p-robust a posteriori error estimates for the Helmholtz equation
ANR APOWA kick-off meeting, Lille, France  
9.
19 March 2024 PDF icon
Guaranteed and robust L2-norm a posteriori error estimates for 1D linear advection(-reaction) problems
ALGORITMY 2024, Podbanske, Slovakia 

2023

10.
17 October 2023 PDF icon
A posteriori error estimates robust with respect to nonlinearities and final time
Congrès international sur l’analyse numérique des EDP, Meknès, Morocco 
11.
05 September 2023 PDF icon
A posteriori error estimates robust with respect to the strength of nonlinearities
ENUMATH 2023, Lisbon , Portugal
12.
21 June 2023 PDF icon
A posteriori error estimates robust with respect to nonlinearities and final time
SIAM Conference on Mathematical and Computational Issues in the Geosciences, Bergen, Norway 
13.
19 June 2023 PDF icon
Polynomial-degree-robust multilevel and domain decomposition methods with optimal step-sizes for mixed finite element discretizations of elliptic problems
SIAM Conference on Mathematical and Computational Issues in the Geosciences, Bergen, Norway , (minisymposium “Domain decomposition and time-splitting methods for multiscale multiphysics problems”)
14.
13 June 2023 PDF icon
A priori and a posteriori error analysis in H(curl): localization, minimal regularity, and p-optimality
Foundations of Computational Mathematics, Paris, France (workshop “Multiresolution and Adaptivity in Numerical PDEs”)
15.
30 May 2023 PDF icon
Inexpensive polynomial-degree-robust equilibrated flux a posteriori estimates for isogeometric analysis
HOFEIM 2023, Larnaca, Cyprus
16.
13 May 2023 PDF icon
Equilibration in H(curl) and applications in a priori and a posteriori magnetostatic analysis
European Finite Element Fair, Enschede, Holland

2022

17.
02 November 2022 PDF icon
A priori and a posteriori error analysis in H(curl): localization, minimal regularity, and p-optimality
Singular Days 2022, Nice, France 
18.
01 August 2022 PDF icon
Polynomial-degree-robust a posteriori error estimation for the curl-curl problem
15th World Congress on Computational Mechanics, Yokohama, Japan (online)
19.
13 July 2022 PDF icon
Error control and adaptivity in numerical simulations
EQUADIFF 15, Brno, Czech Republic 
20.
14 March 2022
Guaranteed bounds for eigenvalues and eigenvectors: multiplicities and clusters
International Workshop on Reliable Computing and Computer-Assisted Proofs (ReCAP 2022), Japan (online)
21.
07 February 2022 PDF icon
A space-time multiscale mortar mixed finite element method for parabolic equations
Space-Time Methods, Oberwolfach, Germany 
22.
24 January 2022 PDF icon
Guaranteed and robust a posteriori error estimates for the reaction–diffusion and heat equations
34th workshop on Numerical fluid mechanics, Paris, France 

2021

23.
29 September 2021 PDF icon
Polynomial-degree-robust a posteriori error estimation for the curl-curl problem
BI.discrete21, Bielefeld, Germany
24.
24 June 2021 PDF icon
Polynomial-degree-robust a posteriori error estimation for the curl-curl problem
RANAPDE 2021, Milano, Italy (online)
25.
23 June 2021 PDF icon
Goal-oriented a posteriori error estimation for conforming and nonconforming approximations with inexact solvers
ADMOS 2021, Gothenburg, Sweden (online)
26.
16 June 2021 PDF icon
A posteriori error estimates and adaptivity taking into account algebraic errors
PDEs in Fluid Mechanics 2021, Beirut, Lebanon (online)
27.
13 January 2021 PDF icon
Guaranteed a posteriori bounds for eigenvalues and eigenvectors: multiplicities and clusters
WCCM 2021, Paris (online)

2020

28.
02 September 2020 PDF icon
A posteriori error estimates and adaptive solvers for porous media flows
InterPore 2020 (online)
29.
15 June 2020 PDF icon
A posteriori error estimates with inexact solvers and recovering mass balance in any situation
Finite Volumes for Complex Applications IX, Bergen, Norway  (online)

2019

30.
08 October 2019 PDF icon
A posteriori estimates & adaptivity with balancing of error components
Kick-off meeting of the ERC project EMC2, Paris
31.
09 September 2019 PDF icon
A posteriori error estimates and adaptivity taking into account algebraic errors
Reliable Methods of Mathematical Modeling 2019, Vienna , Austria 
32.
29 July 2019 PDF icon
Equivalence of local- and global-best approximations and a simple stable local commuting projector in H(div,Ω)
15th US National Congress on Computational Mechanics, Austin, U.S.A. 
33.
01 July 2019 PDF icon
Potential and flux reconstructions for optimal a priori and a posteriori error estimates
Modern Finite Element Technologies 2019 (ECCOMAS thematic conference), Bad Honnef, Germany 
34.
18 June 2019 PDF icon
Localization of global norms and robust a posteriori error control for transmission problems with sign-changing coefficients
MAFELAP 2019, Brunel University, Uxbridge, Great Britain (minisymposium “Recent advancements in p and hp Galerkin methods”)
35.
03 May 2019 PDF icon
A simple a posteriori estimate on general polytopal meshes with applications to complex porous media flows
POEMs - POlytopal Element Methods in Mathematics and Engineering, Marseille-Luminy, France 
36.
15 April 2019 PDF icon
Guaranteed a posteriori bounds for eigenvalues and eigenvectors: multiplicities and clusters
Eigenvalue day, Berlin, Germany 
37.
20 February 2019 PDF icon
Equivalence of local- and global-best approximations and simple stable local commuting projectors in H(div,Ω)
GAMM 2019, Vienna, Austria 
38.
24 January 2019
Equivalence of local- and global-best approximations and simple stable local commuting projectors in H(div,Ω)
WONAPDE 2019, Concepción, Chile

2018

39.
31 August 2018 PDF icon
A simple a posteriori estimate on general polytopal meshes with applications to complex porous media flows
Reactive Flows in Deformable, Complex Media, Oberwolfach, Germany 
40.
23 July 2018 PDF icon
Sharp algebraic and total a posteriori error bounds for h and p finite elements via a multilevel approach
13th World Congress in Computational Mechanics, New York, U.S.A. 
41.
11 June 2018
Potential and flux reconstructions for optimal a priori and a posteriori error estimates
Seventh Conference on Finite Difference Methods: Theory and Applications, Lozenetz, Bulgaria
42.
04 June 2018 PDF icon
Potential and flux reconstructions for optimal a priori and a posteriori error estimates
FEEC and High Order Methods, Oslo, Norway

2017

43.
27 September 2017
A simple a posteriori estimate on general polytopal meshes with applications to complex porous media flows
ENUMATH 2017, Voss, Norway
44.
22 September 2017 PDF icon
Adaptive numerical approximation of model partial differential equations
Czech workshop on complex systems, Prague, Czech Republic 
45.
3 August 2017 PDF icon, video of the talk
Guaranteed, locally space-time efficient, and polynomial-degree robust a posteriori error estimates for high-order discretizations of parabolic problems
Workshop on MOdel REduction, Roztoky, Czech Republic 
46.
14 July 2017 PDF icon
Guaranteed and robust a posteriori bounds for Laplace eigenvalues and eigenvectors
Foundations of Computational Mathematics, Barcelona, Spain (workshop “Multiresolution and Adaptivity in Numerical PDEs”)
47.
27 May 2017
Multilevel estimates of the algebraic error
European Finite Element Fair, Milano, Italy 
48.
18 May 2017 PDF icon
Flux and potential reconstructions for guaranteed error bounds in numerical approximations of model PDEs
MAMERN 2017, Oujda, Morocco 
49.
10 May 2017
Flux and potential reconstructions for guaranteed error bounds in numerical approximations of model PDEs
TamTam 2017, Hammamet, Tunisia 
50.
14 March 2017 PDF icon
A posteriori error estimates for linear and nonlinear evolution problems using space-time dual norms
Space-Time Methods, Oberwolfach, Germany 

2016

51.
03 October 2016
Guaranteed and robust a posteriori bounds for Laplace eigenvalues and eigenvectors
IHP quarter on Numerical Methods for PDEs, Paris
52.
22 September 2016 PDF icon
Stable broken H1 and H(div) polynomial extensions
Adaptive Algorithms, Oberwolfach, Germany 
53.
15 June 2016 PDF icon
Localization of dual norms, local stopping criteria, and fully adaptive solvers
MAFELAP 2016, Brunel University, Uxbridge, Great Britain (minisymposium “Adaptive methods and singular solutions of nonlinear problems”)
54.
15 June 2016
Polynomial-degree-robust estimates in three space dimensions
MAFELAP 2016, Brunel University, Uxbridge, Great Britain (minisymposium “A posteriori error estimation and adaptivity”)
55.
18 March 2016
Estimating a posteriori the discretization and algebraic errors: an overview
ALGORITMY 2016, Podbanske, Slovakia 
56.
12 January 2016
Guaranteed and robust a posteriori bounds for Laplace eigenvalues and eigenvectors
WONAPDE 2016, Concepción, Chile
57.
06 January 2016
Localization of dual norms, local stopping criteria, and fully adaptive solvers
Adaptive algorithms for computational PDEs, Birmingham, Great Britain 

2015

58.
29 September 2015 PDF icon
The current landscape of energy a posteriori error estimators
28th Chemnitz FEM symposium, Germany 
59.
10 September 2015 video of the talk
A posteriori error estimates and adaptivity for Stokes flow with implicit constitutive laws
Workshop on MOdel REduction, Pilsen, Czech Republic 
60.
29 June 2015 PDF icon
Adaptive inexact Newton methods and adaptive regularization and space–time discretization for unsteady nonlinear problems
27th IFIP Conference on System Modelling and Optimization, Sophia Antipolis
61.
6 June 2015
Guaranteed and robust a posteriori bounds for Laplace eigenvalues and eigenvectors
European Finite Element Fair, Prague, Czech Republic 
62.
14 January 2015
Polynomial-degree-robust a posteriori estimates in a unified setting
La Serena Numérica, 8th Chilean Numerical Analysis and Partial Differential Equations Meeting, La Serena, Chile

2014

63.
12 December 2014 PDF icon
Polynomial-degree-robust a posteriori estimates in a unified setting
Foundations of Computational Mathematics, Montevideo, Uruguay (workshop “Multiresolution and Adaptivity in Numerical PDEs”)
64.
9 December 2014 PDF icon
Mixed finite elements: a priori analysis, implementation, and use in a posteriori analysis
Conference honoring Jean Roberts and Jérôme Jaffré, INRIA Paris-Rocquencourt
65.
23 September 2014 PDF icon
Adaptive inexact Newton methods and their application to multi-phase flows
Reactive Flows in Deformable, Complex Media, Oberwolfach, Germany 
66.
21 July 2014 PDF icon
Adaptive discretization, regularization, linearization, and algebraic solution in unsteady nonlinear problems
11th World Congress on Computational Mechanics, Barcelona, Spain
67.
30 May 2014
Polynomial-degree-robust a posteriori estimates in a unified setting for conforming, nonconforming, DG, and mixed discretizations
European Finite Element Fair, Vienna, Austria
68.
16 May 2014 PDF icon
Adaptive inexact Newton methods with a posteriori stopping criteria for nonlinear diffusion PDEs
Fast Solvers for Partial Differential Equations, Oberwolfach, Germany 
69.
11 March 2014
Polynomial-degree-robust a posteriori estimates in a unified setting for conforming, nonconforming, discontinuous Galerkin, and mixed discretizations
Czech workshop on applied mathematics in engineering, Prague, Czech Republic 

2013

70.
25 November 2013 PDF icon
Mixed finite element methods: reduction to one unknown per element
Workshop on Model reduction in continuum thermodynamics: Modeling, analysis and computation, Liblice, Czech Republic 
71.
29 October 2013
Adaptive inexact Newton methods with a posteriori stopping criteria and applications
Nord Pas de Calais/Belgium congress of mathematics, Valenciennes (section “Numerical Schemes for PDEs”)
72.
29 August 2013
Adaptive regularization, linearization, and algebraic solution in unsteady nonlinear problems
ENUMATH 2013, Lausanne, Switzerland (minisymposium “Adaptive stopping criteria”)
73.
21 June 2013
A framework for robust a posteriori error control in unsteady nonlinear advection-diffusion problems
FEIST 2013, Prague, Czech Republic (conference honoring the 70th birthday of Prof. Miloslav Feistauer)
74.
20 June 2013 PDF icon
A posteriori error estimates, stopping criteria, and adaptivity for two-phase flows
SIAM Conference on Mathematical and Computational Issues in the Geosciences, Pavova, Italy (minisymposium “Recent advances in inexact solvers in geosciences”)
75.
11 June 2013 PDF icon
A framework for robust a posteriori error control in unsteady nonlinear advection-diffusion problems
MAFELAP 2013, Brunel University, Uxbridge, Great Britain (minisymposium “New advances in a posteriori error estimation”)
76.
23 May 2013
Equilibrated fluxes: guaranteed error control and error components identification
Workshop Error Estimates and Adaptive Mesh Refinement Strategies for Boundary Element Methods, ENSTA, Paris
77.
27 March 2013
Adaptive inexact Newton methods with a posteriori stopping criteria for nonlinear diffusion PDEs
Advances in Computational PDEs, Seoul, South Corea

2012

78.
9 November 2012
Adaptive regularization, linearization, and algebraic solution in numerical discretizations
International Conference on Modeling, Analysis and Simulation, Tokyo, Japan
79.
18 October 2012
A posteriori error estimates for efficiency and error control in numerical simulations
German–French workshop on high-performance computing, Stuttgart-Fellbach, Germany 
80.
18 September 2012 PDF icon
Adaptive regularization, linearization, and numerical solution of unsteady nonlinear problems
Workshop on Model reduction in continuum thermodynamics: Modeling, analysis and computation, BIRS, Canada
81.
13 September 2012
A posteriori error estimates and adaptivity for two-phase flows
ALGORITMY 2012, Podbanske, Slovakia (minisymposium “A posteriori error estimates”)
82.
4 September 2012 PDF icon
Adaptive inexact Newton methods with a posteriori stopping criteria for nonlinear diffusion PDEs
XII GAMM Workshop on Applied and Numerical Linear Algebra, Liblice, Czech Republic 
83.
21 June 2012
Adaptive inexact Newton methods with a posteriori stopping criteria
Presentation of Mathematics’12, Liberec, Czech Republic 

2011

84.
22 July 2011PDF icon
Guaranteed and robust a posteriori error estimates and balancing discretization and linearization errors for monotone nonlinear problems
7th International Congress on Industrial and Applied Mathematics, Vancouver, Canada (minisymposium “A posteriori error control and adaptivity for nonlinear and evolutive problems”)
85.
29 June 2011PDF icon
A unified framework for a posteriori error estimation for the Stokes problem
24th Biennial Conference on Numerical Analysis, Glasgow, Great Britain (minisymposium “Recent developments in a-posteriori error estimation”)
86.
30 March 2011 PDF icon
Mixed finite element methods: implementation with one unknown per element, local flux expressions, positivity, polygonal meshes, and relations to other methods
INTERPORE 2011, Bordeaux, France 
87.
21 March 2011
Guaranteed and robust a posteriori stopping criteria for iterative linearizations and linear solvers
SIAM Conference on Mathematical and Computational Issues in the Geosciences, Long Beach, U.S.A. (minisymposium “Convergent numerical schemes for flow and solute transport in porous media”)

2006–2010

88.
22 October 2010
A posteriori estimates and stopping criteria for iterative linearizations and linear solvers
Presentation of Mathematics’10, Liberec, Czech Republic 
89.
10 September 2010
Mixed finite element methods: all order schemes with one unknown per element, local flux expressions, positivity, polygonal meshes, and relations to other methods
Workshop on Discretization methods for viscous flows, Carry-le-Rouet, France 
90.
14 July 2010 PDF icon
A posteriori error estimation based on potential and flux reconstruction for the heat equation: a unified framework
SIAM annual meeting, Pittsburgh, U.S.A. (minisymposium “Advances in computational modeling in the geosciences”)
91.
5 July 2010
Lowest-order mixed finite element methods: implementation with one unknown per element, local flux expressions, positivity, polygonal meshes, and relations to other methods
Workshop on Advanced methods for the diffusion equation on general meshes, Paris, France 
92.
21 May 2010
Guaranteed and robust a posteriori error estimates and stopping criteria for iterative linearizations and linear solvers
European Finite Element Fair, Warwick, Great Britain 
93.
16 March 2010
A posteriori error estimates including algebraic error and stopping criteria for iterative solvers
InterPore 2010, College Station, U.S.A. 
94.
5 March 2010
Guaranteed and robust a posteriori error estimates for monotone nonlinear problems and stopping criteria for iterative linearizations and linear solvers
Finite Element Rodeo, Dallas, U.S.A. 
95.
10 September 2009
Guaranteed and robust a posteriori error estimates and balancing discretization and linearization errors for monotone nonlinear problems
Adaptive Finite Elements: Analysis and Application, Kirchzarten, Germany 
96.
19 July 2009
A posteriori error estimates including algebraic error: computable upper bounds and stopping criteria for iterative solvers
10th US National Congress on Computational Mechanics, Columbus, U.S.A. (minisymposium “Estimation and adaptive control of modeling error in computational mechanics”)
97.
26 June 2009
A posteriori error estimates taking into account linearization and algebraic errors
Reliable Methods of Mathematical Modeling, Berlin, Germany 
98.
18 June 2009 PDF icon
Guaranteed and robust discontinuous Galerkin a posteriori error estimates for convection–diffusion–reaction problems
SIAM Conference on Mathematical and Computational Issues in the Geosciences, Leipzig, Germany (minisymposium “Effective and reliable simulations of solute transport in porous media”)
99.
11 June 2009
Guaranteed and robust discontinuous Galerkin a posteriori error estimates for convection–diffusion–reaction problems
MAFELAP 2009, Brunel University, Uxbridge, Great Britain (minisymposium “A posteriori error estimates for discontinuous Galerkin methods”)
100.
11 June 2009
Guaranteed and robust a posteriori error estimates for problems with inhomogeneous coefficients and dominant reaction
MAFELAP 2009, Brunel University, Uxbridge, Great Britain (minisymposium “Goal-oriented error estimation and adaptivity”)
101.
27 January 2009
A posteriori error estimates including algebraic error: computable upper bounds and stopping criteria for iterative solvers
21ème Mécanique des fluides numérique, Paris, France 
102.
22 January 2009
Guaranteed and robust discontinuous Galerkin a posteriori error estimates for convection–diffusion–reaction problems
Multiresolution and adaptive methods for convection-dominated problems, Paris, France 
103.
13 October 2008
Guaranteed and robust a posteriori error estimation based on flux reconstruction for discontinuous Galerkin methods
A posteriori estimates for adaptive mesh refinement and error control, Paris, France 
104.
9 June 2008
Two types of guaranteed (and robust) a posteriori estimates for finite volume methods
5th International Symposium on Finite Volumes for Complex Applications, Aussois, France 
105.
4 June 2008
A unified framework for optimal a posteriori error estimation in different numerical methods
Deuxième congrès Canada – France, Montréal, Canada (minisymposium  Mécanique des fluides industrielle )
106.
22 January 2008
Guaranteed (and robust) a posteriori error estimates in continuous and discontinuous Galerkin finite element and finite volume methods
Adaptive numerical methods for PDE’s, Wolfgang Pauli Institute of Wien, Austria
107.
22 October 2007
Guaranteed, robust, and almost asymptotically exact a posteriori error estimation in numerical approximation of elliptic partial differential equations
US – France Young Engineering Scientists Symposium 2007, Washington D.C., U.S.A. (section “Modeling and High Performance Computing”)
108.
30 August 2007
Guaranteed, locally efficient, asymptotically exact, and robust a posteriori error estimation in the finite element method
CEMRACS 2007, Marseille-Luminy, France 
109.
16 July 2007
Combining finite volumes and finite elements for nonmatching grids
6th International Congress on Industrial and Applied Mathematics, Zurich, Switzerland (minisymposium “Multiscale porous media—applications, discretizations, solvers”)
110.
18 May 2007
Unified primal formulation-based a priori and a posteriori error analysis of mixed finite element methods
European Finite Element Fair 5, Marseille/Luminy, France 
111.
28 September 2006
A posteriori error estimates for finite volume discretizations of inhomogeneous, anisotropic, and convection-dominated problems
Understanding of Complex Pattern Dynamics, Kobe Institute, Kobe, Japan
112.
15 June 2006
A posteriori error estimates for mixed finite element discretizations of inhomogeneous, anisotropic, and convection-dominated problems
MAFELAP 2006, Brunel University, Uxbridge, Great Britain 
113.
3 June 2006
A posteriori error estimates for mixed finite element discretizations of convection–diffusion–reaction equations
European Finite Element Fair 4, Zürich, Switzerland

2005 and before

114.
8 June 2005
Mixed finite elements for flow and contaminant transport through fracture networks: Theory and efficient implementation
SIAM Conference on Mathematical and Computational Issues in the Geosciences, Avignon (minisymposium “Flow and transport in fractured media”)
115.
15 March 2005
Equivalence between lowest-order mixed finite element and multi-point volume methods. Derivation, properties, and numerical experiments
ALGORITMY 2005, Podbanske, Slovakia 
116.
2 September 2003
Combined nonconforming/mixed-hybrid finite element–finite volume schemes for contaminant transport simulation
Simulation, Modelling, and Numerical Analysis SIMONA 2003, Liberec, Czech Republic 
117.
20 August 2003
Combined nonconforming/mixed-hybrid finite element–finite volume scheme for degenerate parabolic problems
ENUMATH 2003, Prague, Czech Republic 
118.
18 August 2002
Stochastic discrete fracture network model: Model creation and computation of the flow and contaminant transport
Satellite Conference on Scientific Computing, ICM 02, Xian, China
119.
28 August 2001
Mixed model of the fracture flow
EQUADIFF 10, Prague, Czech Republic 
120.
14 September 2000
Mixed-hybrid model of the fracture flow
ALGORITMY 2000, Podbanske, Slovakia 
121.
5 September 2000
Modelling the fracture flow
Simulation, Modelling, and Numerical Analysis SIMONA 2000, Liberec, Czech Republic