Biorthogonal basis functions in \(hp\)-adaptive FEM for elliptic obstacle problems
type: Item
instance of: scholarly article
title: Biorthogonal basis functions in \(hp\)-adaptive FEM for elliptic obstacle problems
zbMATH Open document ID: 1443.65308
author: Lothar Banz
author: Andreas Schröder
publication date: 2020-10-11T00:00:00Z
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 65K15
Mathematics Subject Classification ID: 65N15
Mathematics Subject Classification ID: 65N50
Mathematics Subject Classification ID: 35J86
zbMATH DE Number: 7258645
zbMATH Keywords: non-symmetric elliptic obstacle problems
zbMATH Keywords: \(hp\)-adaptive FEM
zbMATH Keywords: residual error estimation
zbMATH Keywords: hanging nodes
zbMATH Keywords: biorthogonal basis
describes a project that uses: Concepts
MaRDI profile type: Publication
full work available at URL: j.camwa.2015.07.010
OpenAlex ID: W1795753129
cites work: The pricing of options and corporate liabilities
cites work: A posteriorierror analysis for parabolic variational inequalities
cites work: The Primal-Dual Active Set Strategy as a Semismooth Newton Method
cites work: Solution of variational inequalities in mechanics
cites work: Quadratic finite element methods for unilateral contact problems
cites work: A posteriori error estimates of higher-order finite elements for frictional contact problems
cites work: Mixed Finite Element Methods of Higher-Order for Model Contact Problems
cites work: A Primal-Dual Active Set Algorithm for Three-Dimensional Contact Problems with Coulomb Friction
cites work: A Mortar Finite Element Method Using Dual Spaces for the Lagrange Multiplier
cites work: Discretization methods and iterative solvers based on domain decomposition
cites work: Biorthogonal bases with local support and approximation properties
cites work: A posteriori error estimates of \(hp\)-adaptive IPDG-FEM for elliptic obstacle problems
cites work: \(hp\)-adaptive IPDG/TDG-FEM for parabolic obstacle problems
cites work: On \(hp\)-adaptive BEM for frictional contact problems in linear elasticity
cites work: An Introduction to Variational Inequalities and Their Applications
cites work: Finite Elements
cites work: hp-Interpolation of Nonsmooth Functions and an Application to hp-A posteriori Error Estimation
cites work: Q3584106
cites work: Polynomial interpolation results in Sobolev spaces
cites work: A \(p\)-version finite element method for nonlinear elliptic variational inequalities in 2D
cites work: \(hp\)-FEM convergence for unilateral contact problems with Tresca friction in plane linear elastostatics
cites work: A posteriori error estimators for obstacle problems -- another look
cites work: Q3511010
cites work: A new class of projection and contraction methods for solving variational inequality problems
cites work: Solving linear variational inequality problems by a self-adaptive projection method
cites work: Global and superlinear convergence of the smoothing Newton method and its application to general box constrained variational inequalities
cites work: A penalized Fischer-Burmeister NCP-function
cites work: Aspects of an adaptive \(hp\)-finite element method: Adaptive strategy, conforming approximation and efficient solvers
cites work: Computing with hp-ADAPTIVE FINITE ELEMENTS
cites work: Arbitrary-level hanging nodes and automatic adaptivity in the \(hp\)-FEM
cites work: Concepts—An Object-Oriented Software Package for Partial Differential Equations
cites work: Constrained Approximation in hp-FEM: Unsymmetric Subdivisions and Multi-Level Hanging Nodes
cites work: Constraints Coefficients in hp-FEM
cites work: On residual-based a posteriori error estimation in hp-FEM
cites work: Numerical Approximation Methods for Elliptic Boundary Value Problems
cites work: A note on the design of \(hp\)-adaptive finite element methods for elliptic partial differential equations
cites work: Averaging techniques yield reliable a posteriori finite element error control for obstacle problems
cites work: An Infeasible Active Set Method for Quadratic Problems with Simple Bounds
DOI: 10.1016/J.CAMWA.2015.07.010
published in: Computers & Mathematics with Applications
description: scientific article; zbMATH DE number 7258645