| Publication | Date of Publication | Type |
|---|
| Adaptive regularization, discretization, and linearization for nonsmooth problems based on primal-dual gap estimators | 2024-03-25 | Paper |
| An equilibrated flux a posteriori error estimator for defeaturing problems | 2023-12-26 | Paper |
| \(p\) -Robust Equilibrated Flux Reconstruction in \(\boldsymbol{H}(\textrm{curl})\) Based on Local Minimizations: Application to a Posteriori Analysis of the Curl-Curl Problem | 2023-07-18 | Paper |
| Guaranteed contraction of adaptive inexact hp-refinement strategies with realistic stopping criteria | 2023-05-25 | Paper |
| A Space-Time Multiscale Mortar Mixed Finite Element Method for Parabolic Equations | 2023-04-26 | Paper |
| Adaptive inexact smoothing Newton method for a nonconforming discretization of a variational inequality | 2023-02-16 | Paper |
| Semismooth and smoothing Newton methods for nonlinear systems with complementarity constraints: adaptivity and inexact resolution | 2022-10-21 | Paper |
| A stable local commuting projector and optimal $hp$ approximation estimates in ${\boldsymbol H}(\mathrm{curl})$ | 2022-10-18 | Paper |
| Constrained and unconstrained stable discrete minimizations for p-robust local reconstructions in vertex patches in the de Rham complex | 2022-08-11 | Paper |
| Post-processing of the planewave approximation of Schrödinger equations. Part I: linear operators | 2022-05-17 | Paper |
| Equivalence of local- and global-best approximations, a simple stable local commuting projector, and optimal hp approximation estimates in H (div) | 2022-05-10 | Paper |
| Inexpensive guaranteed and efficient upper bounds on the algebraic error in finite element discretizations | 2022-01-13 | Paper |
| Stable broken 𝐻(𝑐𝑢𝑟𝑙) polynomial extensions and 𝑝-robust a posteriori error estimates by broken patchwise equilibration for the curl–curl problem | 2021-12-16 | Paper |
| Equivalence of local-best and global-best approximations in \(\boldsymbol{H}(\mathrm{curl})\) | 2021-12-14 | Paper |
| Contractive local adaptive smoothing based on Dörfler's marking in a-posteriori-steered \(p\)-robust multigrid solvers | 2021-11-26 | Paper |
| A space-time multiscale mortar mixed finite element method for parabolic equations | 2021-10-05 | Paper |
| Guaranteed and robust L2-norm a posteriori error estimates for 1D linear advection problems | 2021-09-15 | Paper |
| On the derivation of guaranteed and \(p\)-robust a posteriori error estimates for the Helmholtz equation | 2021-08-27 | Paper |
| A-Posteriori-Steered $p$-Robust Multigrid with Optimal Step-Sizes and Adaptive Number of Smoothing Steps | 2021-06-29 | Paper |
| Simple and robust equilibrated flux a posteriori estimates for singularly perturbed reaction–diffusion problems | 2021-06-11 | Paper |
| Sharp algebraic and total a posteriori error bounds for \(h\) and \(p\) finite elements via a multilevel approach. Recovering mass balance in any situation | 2021-04-26 | Paper |
| A posteriori estimates distinguishing the error components and adaptive stopping criteria for numerical approximations of parabolic variational inequalities | 2021-04-26 | Paper |
| Convergence and quasi-optimal cost of adaptive algorithms for nonlinear operators including iterative linearization and algebraic solver | 2021-04-15 | Paper |
| Equilibrated flux a posteriori error estimates in $L^2(H^1)$-norms for high-order discretizations of parabolic problems | 2021-03-16 | Paper |
| Polynomial-degree-robust \(\boldsymbol H(\mathbf{curl})\)-stability of discrete minimization in a tetrahedron | 2021-01-21 | Paper |
| Convergence and a posteriori error analysis for energy-stable finite element approximations of degenerate parabolic equations | 2021-01-20 | Paper |
| A Multilevel Algebraic Error Estimator and the Corresponding Iterative Solver with $p$-Robust Behavior | 2020-10-28 | Paper |
| Guaranteed a posteriori bounds for eigenvalues and eigenvectors: Multiplicities and clusters | 2020-08-27 | Paper |
| A posteriori error estimates for a compositional two-phase flow with nonlinear complementarity constraints | 2020-08-18 | Paper |
| Adaptive inexact semismooth Newton methods for the contact problem between two membranes | 2020-08-07 | Paper |
| Localization of the W-1,q norm for local a posteriori efficiency | 2020-05-12 | Paper |
| An adaptive \(hp\)-refinement strategy with inexact solvers and computable guaranteed bound on the error reduction factor | 2020-04-28 | Paper |
| A simple a posteriori estimate on general polytopal meshes with applications to complex porous media flows | 2020-04-06 | Paper |
| A posteriori error estimates and stopping criteria for space-time domain decomposition for two-phase flow between different rock types | 2020-01-20 | Paper |
| Stable broken $H^1$ and $H(\mathrm {div})$ polynomial extensions for polynomial-degree-robust potential and flux reconstruction in three space dimensions | 2019-12-27 | Paper |
| An adaptive \(hp\)-refinement strategy with computable guaranteed bound on the error reduction factor | 2019-11-21 | Paper |
| Goal-oriented a posteriori error estimation for conforming and nonconforming approximations with inexact solvers | 2019-11-05 | Paper |
| Equivalence of local-and global-best approximations, a simple stable local commuting projector, and optimal $hp$ approximation estimates in $H(\mathrm{div})$ | 2019-08-21 | Paper |
| Localization of global norms and robust a posteriori error control for transmission problems with sign-changing coefficients | 2019-04-24 | Paper |
| Guaranteed and robust a posteriori bounds for Laplace eigenvalues and eigenvectors: a unified framework | 2018-10-31 | Paper |
| A posteriori stopping criteria for optimized Schwarz domain decomposition algorithms in mixed formulations | 2018-10-26 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5376232 | 2018-09-17 | Paper |
| A posteriori stopping criteria for space-time domain decomposition for the heat equation in mixed formulations | 2018-09-05 | Paper |
| A posteriori error estimates, stopping criteria, and adaptivity for two-phase flows | 2018-08-21 | Paper |
| Adaptive inexact iterative algorithms based on polynomial-degree-robust a posteriori estimates for the Stokes problem | 2018-04-11 | Paper |
| Estimating and localizing the algebraic and total numerical errors using flux reconstructions | 2018-04-10 | Paper |
| Guaranteed, Locally Space-Time Efficient, and Polynomial-Degree Robust a Posteriori Error Estimates for High-Order Discretizations of Parabolic Problems | 2017-11-27 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4593455 | 2017-11-22 | Paper |
| Discrete \(p\)-robust \(\boldsymbol H(\mathrm{div})\)-liftings and a posteriori estimates for elliptic problems with \(H^{-1}\) source terms | 2017-10-27 | Paper |
| Guaranteed and Robust a Posteriori Bounds for Laplace Eigenvalues and Eigenvectors: Conforming Approximations | 2017-09-25 | Paper |
| An a posteriori-based, fully adaptive algorithm with adaptive stopping criteria and mesh refinement for thermal multiphase compositional flows in porous media | 2017-05-22 | Paper |
| A perturbation-method-based post-processing for the planewave discretization of Kohn-Sham models | 2016-12-20 | Paper |
| A posteriori error estimates, stopping criteria, and adaptivity for multiphase compositional Darcy flows in porous media | 2016-12-05 | Paper |
| $hp$-Adaptation Driven by Polynomial-Degree-Robust A Posteriori Error Estimates for Elliptic Problems | 2016-10-12 | Paper |
| Algebraic and discretization error estimation by equilibrated fluxes for discontinuous Galerkin methods on nonmatching grids | 2015-09-03 | Paper |
| Polynomial-Degree-Robust A Posteriori Estimates in a Unified Setting for Conforming, Nonconforming, Discontinuous Galerkin, and Mixed Discretizations | 2015-05-27 | Paper |
| Adaptive regularization, linearization, and discretization and a posteriori error control for the two-phase Stefan problem | 2015-01-30 | Paper |
| A perturbation-method-based a posteriori estimator for the planewave discretization of nonlinear Schrödinger equations | 2014-11-11 | Paper |
| From face to element unknowns by local static condensation with application to nonconforming finite elements | 2014-10-24 | Paper |
| An a posteriori error estimate for vertex-centered finite volume discretizations of immiscible incompressible two-phase flow | 2013-11-15 | Paper |
| Adaptive Inexact Newton Methods with A Posteriori Stopping Criteria for Nonlinear Diffusion PDEs | 2013-10-28 | Paper |
| Guaranteed and fully robust a posteriori error estimates for conforming discretizations of diffusion problems with discontinuous coefficients | 2013-08-29 | Paper |
| A Framework for Robust A Posteriori Error Control in Unsteady Nonlinear Advection-Diffusion Problems | 2013-07-18 | Paper |
| Robust a Posteriori Error Control and Adaptivity for Multiscale, Multinumerics, and Mortar Coupling | 2013-05-06 | Paper |
| MIXED FINITE ELEMENT METHODS: IMPLEMENTATION WITH ONE UNKNOWN PER ELEMENT, LOCAL FLUX EXPRESSIONS, POSITIVITY, POLYGONAL MESHES, AND RELATIONS TO OTHER METHODS | 2013-05-03 | Paper |
| Four closely related equilibrated flux reconstructions for nonconforming finite elements | 2013-03-15 | Paper |
| A unified framework for a posteriori error estimation for the Stokes problem | 2012-12-20 | Paper |
| A Posteriori Error Estimates for Unsteady Convection–Diffusion–Reaction Problems and the Finite Volume Method | 2012-08-17 | Paper |
| An A Posteriori Error Estimator for a Finite Volume Discretization of the Two-phase Flow | 2012-08-17 | Paper |
| A Unified Framework for a posteriori Error Estimation in Elliptic and Parabolic Problems with Application to Finite Volumes | 2012-08-17 | Paper |
| On the unilateral contact between membranes. Part 2: a posteriori analysis and numerical experiments | 2012-08-17 | Paper |
| Guaranteed and robust a posteriori error estimates and balancing discretization and linearization errors for monotone nonlinear problems | 2012-02-01 | Paper |
| A posteriori error estimates for combined finite volume-finite element discretizations of reactive transport equations on nonmatching grids | 2011-11-16 | Paper |
| A Posteriori Error Estimates Including Algebraic Error and Stopping Criteria for Iterative Solvers | 2011-04-19 | Paper |
| A Posteriori Error Estimation Based on Potential and Flux Reconstruction for the Heat Equation | 2011-02-28 | Paper |
| Unified primal formulation-based a priori and a posteriori error analysis of mixed finite element methods | 2010-10-08 | Paper |
| A combined finite volume-finite element scheme for the discretization of strongly nonlinear convection-diffusion-reaction problems on nonmatching grids | 2010-05-19 | Paper |
| Guaranteed and robust discontinuous Galerkin a posteriori error estimates for convection-diffusion-reaction problems | 2010-04-21 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3646661 | 2009-11-27 | Paper |
| Guaranteed and robusta posteriorierror estimates for singularly perturbed reaction–diffusion problems | 2009-09-29 | Paper |
| On the Unilateral Contact Between Membranes. Part 1: Finite Element Discretization and Mixed Reformulation | 2009-05-14 | Paper |
| Flux reconstruction and a posteriori error estimation for discontinuous Galerkin methods on general nonmatching grids | 2009-04-16 | Paper |
| Computable a posteriori error estimates in the finite element method based on its local conservativity: improvements using local minimization | 2009-03-26 | Paper |
| A finite element discretization of the contact between two membranes | 2009-03-04 | Paper |
| Residual flux-based a posteriori error estimates for finite volume and related locally conservative methods | 2008-12-01 | Paper |
| A Posteriori Error Estimates for Lowest-Order Mixed Finite Element Discretizations of Convection-Diffusion-Reaction Equations | 2008-08-14 | Paper |
| A posteriori error estimation in the conforming finite element method based on its local conservativity and using local minimization | 2008-06-26 | Paper |
| An accurate \(\mathbf H\)(div) flux reconstruction for discontinuous Galerkin approximations of elliptic problems | 2008-01-08 | Paper |
| A posteriori error estimates for finite volume and mixed finite element discretizations of convection–diffusion–reaction equations | 2007-11-20 | Paper |
| Equivalence between lowest-order mixed finite element and multi-point finite volume methods on simplicial meshes | 2007-03-27 | Paper |
| Mixed and nonconforming finite element methods on a system of polygons | 2007-03-12 | Paper |
| A combined finite volume-nonconforming/mixed-hybrid finite element scheme for degenerate parabolic problems | 2006-11-27 | Paper |
| On the Discrete Poincaré–Friedrichs Inequalities for Nonconforming Approximations of the Sobolev Space H 1 | 2006-03-29 | Paper |
| Numerical simulation of fracture flow with a mixed-hybrid FEM stochastic discrete fracture network model | 2005-04-21 | Paper |
| Equivalence between mixed finite element and multi-point finite volume methods | 2005-01-13 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4823227 | 2004-10-27 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4739434 | 2004-08-12 | Paper |
| Mixed-hybrid FEM discrete fracture network model of the fracture flow | 2004-05-18 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4454412 | 2004-03-08 | Paper |
| https://portal.mardi4nfdi.de/entity/Q2753083 | 2001-01-01 | Paper |
