DOI10.1023/A:1014268310921zbMath0991.65111OpenAlexW94458352MaRDI QIDQ5959281
Jens Markus Melenk, Barbara I. Wohlmuth
Publication date: 26 March 2002
Published in: Advances in Computational Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1023/a:1014268310921
A simple equilibration procedure leading to polynomial-degree-robust a posteriori error estimators for the curl-curl problem,
Learning Robust Marking Policies for Adaptive Mesh Refinement,
Frequency-Explicit A Posteriori Error Estimates for Discontinuous Galerkin Discretizations of Maxwell’s Equations,
New \textit{a posteriori} error estimates for \textit{hp} version of finite element methods of nonlinear parabolic optimal control problems,
Discontinuous Galerkin solutions for elliptic problems on polygonal grids using arbitrary-order Bernstein-Bézier functions,
A posteriori error estimates for control problems governed by nonlinear elliptic equations in \(hp\)-FEM,
Adaptive VEM: Stabilization-Free A Posteriori Error Analysis and Contraction Property,
The a posteriori error estimates of Chebyshev-Petrov-Galerkin methods for second-order equations,
hp-adaptive extended finite element method,
Hybridization and stabilization for \textit{hp}-finite element methods,
Error Control and Adaptivity for the Finite Cell Method,
A posteriori error estimates of \(h p\)-discontinuous Galerkin method for strongly nonlinear elliptic problems,
Adaptive refinement for \(hp\)-version Trefftz discontinuous Galerkin methods for the homogeneous Helmholtz problem,
Interpolation in Jacobi-weighted spaces and its application to a posteriori error estimations of the \(p\)-version of the finite element method,
An $hp$-adaptive Newton-discontinuous-Galerkin finite element approach for semilinear elliptic boundary value problems,
Residual-based a posteriori error estimates for the \(hp\) version of the finite element discretization of the elliptic Robin boundary control problem,
The \(hp\)-adaptive FEM based on continuous Sobolev embeddings: isotropic refinements,
An a-posteriori error estimate for \(hp\)-adaptive DG methods for convection-diffusion problems on anisotropically refined meshes,
An interior point method designed for solving linear quadratic optimal control problems withhpfinite elements,
An \(hp\)-adaptive mixed discontinuous Galerkin FEM for nearly incompressible linear elasticity,
Convergence of an adaptive \( hp\) finite element strategy in one space dimension,
Efficient simulation of cardiac electrical propagation using high-order finite elements. II: Adaptive \(p\)-version,
A Posteriori Error Estimation of $hp$-$dG$ Finite Element Methods for Highly Indefinite Helmholtz Problems,
A posteriori estimates using auxiliary subspace techniques,
On \(p\)-robust saturation for \(hp\)-AFEM,
On \(p\)-robust saturation on quadrangulations,
Error estimates of spectral element methods with generalized Jacobi polynomials on an interval,
Frequency-Explicit A Posteriori Error Estimates for Finite Element Discretizations of Maxwell's Equations,
Direct and inverse approximation theorems for the \(p\)-version of the finite element method in the framework of weighted Besov spaces. III: Inverse approximation theorems,
Adaptive compression of large vectors,
Saturation estimates for \(hp\)-finite element methods,
Residual-based a posteriori estimators for the potential formulations of electrostatic and time-harmonic eddy current problems with voltage or current excitation,
Parametric finite elements with bijective mappings,
Guaranteed, Locally Space-Time Efficient, and Polynomial-Degree Robust a Posteriori Error Estimates for High-Order Discretizations of Parabolic Problems,
\(hp\) adaptive finite elements based on derivative recovery and superconvergence,
An \(hp\)-adaptive strategy based on continuous Sobolev embeddings,
A residual-based a posteriori error estimator for the \(hp\)-finite element method for Maxwell's equations,
\(hp\)-FEM for a stabilized three-field formulation of the biharmonic problem,
\(HN\)-adaptive spectral element discretization of optimal control problems for environmental applications,
An error estimator for spectral method approximation of flow control with state constraint,
Convergence of an adaptive \(hp\) finite element strategy in higher space-dimensions,
An hp finite element adaptive scheme to solve the Laplace model for fluid-solid vibrations,
The deal.II library, version 9.2,
A posteriori error control for distributed elliptic optimal control problems with control constraints discretized by \(hp\)-finite elements,
Spectral element methods a priori and a posteriori error estimates for penalized unilateral obstacle problem,
A posteriori error estimates of \(hp\)-adaptive IPDG-FEM for elliptic obstacle problems,
Anisotropic \(hp\)-adaptive method based on interpolation error estimates in the \(L^q\)-norm,
Robust Adaptive $hp$ Discontinuous Galerkin Finite Element Methods for the Helmholtz Equation,
Spectral Element Discretization of Optimal Control Problems,
An a posteriori error estimator for \(hp\)-adaptive continuous Galerkin methods for photonic crystal applications,
Error estimates of spectral Legendre-Galerkin methods for the fourth-order equation in one dimension,
ENERGY NORM A POSTERIORI ERROR ESTIMATION FOR hp-ADAPTIVE DISCONTINUOUS GALERKIN METHODS FOR ELLIPTIC PROBLEMS IN THREE DIMENSIONS,
The a Posteriori Error Estimates for Chebyshev-Galerkin Spectral Methods in One Dimension,
Stabilized mixed \(hp\)-BEM for frictional contact problems in linear elasticity,
A-Posteriori Error Estimates for Uniform p-Version Finite Element Methods in Square,
Adaptation in coupled problems,
Efficient and reliable hp-FEM estimates for quadratic eigenvalue problems and photonic crystal applications,
Convergence and optimality of \({\mathbf {hp}}\)-\textbf{AFEM},
A posteriori error estimates of stabilized low-order mixed finite elements for the Stokes eigenvalue problem,
A posteriori error estimates for \(hp\) finite element solutions of convex optimal control problems,
An improved a posteriori error estimate for the Galerkin spectral method in one dimension,
\(hp\)-discontinuous Galerkin methods for strongly nonlinear elliptic boundary value problems,
On \(hp\)-adaptive BEM for frictional contact problems in linear elasticity,
Biorthogonal basis functions in \(hp\)-adaptive FEM for elliptic obstacle problems,
A posteriori error control of \(hp\)-finite elements for variational inequalities of the first and second kind,
Adaptive energy minimisation for \(hp\)-finite element methods,
Adaptive \(hp\)-FEM for eigenvalue computations,
Comparison of hp‐adaptive methods in finite element electromagnetic wave propagation,
A class of spectral element methods and its a priori/a posteriori error estimates for 2nd-order elliptic eigenvalue problems,
Adaptive \(hp\)-FEM for the contact problem with Tresca friction in linear elasticity: The primal-dual formulation and a posteriori error estimation,
A note on the design of \(hp\)-adaptive finite element methods for elliptic partial differential equations,
\texttt{FEMPAR}: an object-oriented parallel finite element framework,
Robust error estimates for approximations of non-self-adjoint eigenvalue problems,
$HP$-Adaptive Celatus Enriched Discontinuous Galerkin Method for Second-Order Elliptic Source Problems,
An \(hp\) finite element adaptive scheme to solve the Poisson problem on curved domains,
Error-driven dynamical \(hp\)-meshes with the discontinuous Galerkin method for three-dimensional wave propagation problems,
Equilibrated residual error estimates are \(p\)-robust,
An adaptive \(hp\)-version of the multilevel particle-partition of unity method,
An adaptive strategy for \(hp\)-FEM based on testing for analyticity,
An \(hp\)-adaptive iterative linearization discontinuous-Galerkin FEM for quasilinear elliptic boundary value problems,
Duality-based adaptivity in the hp-finite element method,
Residual-based a posteriori error estimation for \(hp\)-adaptive finite element methods for the Stokes equations,
Shock capturing techniques for \(h p\)-adaptive finite elements,
A posteriori error estimates of spectral approximations for second order partial differential equations in spherical geometries,
$hp$-Adaptation Driven by Polynomial-Degree-Robust A Posteriori Error Estimates for Elliptic Problems,
A posteriori error estimates of \textit{hp} spectral element methods for integral state constrained elliptic optimal control problems,
A unifying theory of a posteriori error control for discontinuous Galerkin FEM,
A saturation property for the spectral-Galerkin approximation of a Dirichlet problem in a square,
A posteriori error estimation and adaptivity in \textit{hp} virtual elements,
High-Order Adaptive Galerkin Methods,
An adaptive high-order unfitted finite element method for elliptic interface problems,
Error control in h- and hp-adaptive FEM for Signorini's problem,
Explicit a posteriori error estimates for eigenvalue analysis of heterogeneous elastic structures,
Residual-Based A Posteriori Error Estimates for $hp$-Discontinuous Galerkin Discretizations of the Biharmonic Problem,
Adaptive virtual element methods with equilibrated fluxes,
A Posteriori Error Estimates for Higher Order Space-Time Galerkin Discretizations of Nonlinear Parabolic Problems,
On polynomial robustness of flux reconstructions.,
Polynomial-Degree-Robust A Posteriori Estimates in a Unified Setting for Conforming, Nonconforming, Discontinuous Galerkin, and Mixed Discretizations,
A priori and a posteriori error estimates for \(hp\)-FEM for a Bingham type variational inequality of the second kind,
Goal-oriented adaptive finite element methods for elliptic problems revisited,
ENERGY NORM A POSTERIORI ERROR ESTIMATION OF hp-ADAPTIVE DISCONTINUOUS GALERKIN METHODS FOR ELLIPTIC PROBLEMS,
A Comparison of hp -Adaptive Strategies for Elliptic Partial Differential Equations,
hp –Adaptive composite discontinuous Galerkin methods for elliptic problems on complicated domains,
Benchmark results for testing adaptive finite element eigenvalue procedures. II: Conforming eigenvector and eigenvalue estimates.