Adaptive discontinuous Galerkin methods for elliptic interface problems
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Publication:3177712
DOI10.1090/mcom/3322zbMath1397.65252OpenAlexW2756254807MaRDI QIDQ3177712
Emmanuil H. Georgoulis, Younis A. Sabawi, Andrea Cangiani
Publication date: 1 August 2018
Published in: Mathematics of Computation (Search for Journal in Brave)
Full work available at URL: https://semanticscholar.org/paper/868feb7973a2cbf2b1905b4eac0d06acd9adc67d
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Cites Work
- Unnamed Item
- Discontinuous Galerkin methods for fast reactive mass transfer through semi-permeable membranes
- An adaptive simplex cut-cell method for high-order discontinuous Galerkin discretizations of elliptic interface problems and conjugate heat transfer problems
- Fictitious domain finite element methods using cut elements. I: A stabilized Lagrange multiplier method
- A conservative and monotone mixed-hybridized finite element approximation of transport problems in heterogeneous domains
- Optimal a priori estimates for higher order finite elements for elliptic interface problems
- The immersed interface method using a finite element formulation
- A posteriori error estimation and adaptive mesh-refinement techniques
- A posteriori error analysis for elliptic PDEs on domains with complicated structures
- A spatial model of cellular molecular trafficking including active transport along microtubules
- On Friedrichs--Poincaré-type inequalities
- An unfitted finite element method, based on Nitsche's method, for elliptic interface problems.
- A posteriori error analysis for discontinuous finite volume methods of elliptic interface problems
- Mortar methods with curved interfaces
- On the accuracy of finite element approximations to a class of interface problems
- Discontinuous Galerkin Methods for Mass Transfer through Semipermeable Membranes
- Robust residual- and recovery-based a posteriori error estimators for interface problems with flux jumps
- CutFEM: Discretizing geometry and partial differential equations
- A hierarchical NXFEM for fictitious domain simulations
- Discontinuous Galerkin Finite Element Methods for Interface Problems: A Priori and A Posteriori Error Estimations
- A new error analysis for discontinuous finite element methods for linear elliptic problems
- A discontinuous Galerkin method for elliptic interface problems with application to electroporation
- Composite finite elements for elliptic interface problems
- The immersed boundary method
- deal.II—A general-purpose object-oriented finite element library
- Recovery-Based Error Estimator for Interface Problems: Conforming Linear Elements
- Interior-penalty-stabilized Lagrange multiplier methods for the finite-element solution of elliptic interface problems
- An unfitted finite element method using discontinuous Galerkin
- Fitted and Unfitted Finite-Element Methods for Elliptic Equations with Smooth Interfaces
- An adaptive strategy for elliptic problems including a posteriori controlled boundary approximation
- The Immersed Interface Method for Elliptic Equations with Discontinuous Coefficients and Singular Sources
- A Posteriori Error Estimates for a Discontinuous Galerkin Approximation of Second-Order Elliptic Problems
- Two-Level Additive Schwarz Methods for a Discontinuous Galerkin Approximation of Second Order Elliptic Problems
- Efficient Implementation of Finite Element Methods on Nonmatching and Overlapping Meshes in Three Dimensions
- Convergence of Adaptive Discontinuous Galerkin Approximations of Second‐Order Elliptic Problems
- Inverse-type estimates on $hp$-finite element spaces and applications
- The Mathematical Theory of Finite Element Methods
- ANALYSIS OF PARABOLIC PROBLEMS ON PARTITIONED DOMAINS WITH NONLINEAR CONDITIONS AT THE INTERFACE: APPLICATION TO MASS TRANSFER THROUGH SEMI-PERMEABLE MEMBRANES
- hp-Version discontinuous Galerkin methods on polygonal and polyhedral meshes