The mortar element method for three dimensional finite elements
From MaRDI portal
Publication:3125190
DOI10.1051/m2an/1997310202891zbMath0868.65082OpenAlexW1512418819MaRDI QIDQ3125190
Faker Ben Belgacem, Yvon Maday
Publication date: 14 July 1997
Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/193838
Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Boundary value problems for second-order elliptic equations (35J25) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)
Related Items
A hybrid mimetic spectral element method for three-dimensional linear elasticity problems ⋮ Analysis of a mesh-dependent stabilization for the three fields domain decomposition method ⋮ Adaptive multigrid and domain decomposition methods in the computation of electromagnetic fields ⋮ A mortar finite volume method for a fractured model in porous media ⋮ Mortar Finite Element Methods for Discontinuous Coefficients ⋮ A Parallel Implementation of the Mortar Element Method in 2D and 3D ⋮ Uniform convergence and Schwarz method for the mortar projection nonconforming and mixed element methods for nonselfadjoint and indefinite problems ⋮ A conforming finite element method for overlapping and nonmatching grids ⋮ Information transfer between incompatible finite element meshes: Application to coupled thermo-viscoelasticity ⋮ A computational multilevel approach for solving 2D Navier-Stokes equations over non-matching grids ⋮ BV estimates for mortar methods in linear elasticity ⋮ A gluing method for non-matching meshes ⋮ A quasi-dual Lagrange multiplier space for serendipity mortar finite elements in 3D ⋮ On the accuracy of the mortar finite volume element method with Lagrange multipliers ⋮ A regularized domain decomposition method with Lagrange multiplier ⋮ Mathematical and Numerical Analysis of Some FSI Problems ⋮ A multigrid local smoother approach for a domain decomposition solver over non‐matching grids ⋮ An energy preserving time scheme based on the mortar element method for effective transmission conditions between fluid and solid domains in transient wave propagation problems ⋮ An energy-based overset finite element method for pseudo-static structural analysis ⋮ A matrix-free Chimera approach based on Dirichlet-Dirichlet coupling for domain composition purposes ⋮ A discontinuous Galerkin method with Lagrange multipliers for the solution of Helmholtz problems in the mid-frequency regime ⋮ Mortar contact formulations for deformable-deformable contact: past contributions and new extensions for enriched and embedded interface formulations ⋮ Numerical analysis on the mortar spectral element methods for Schrödinger eigenvalue problem with an inverse square potential ⋮ Schwarz preconditioned CG algorithm for the mortar finite element ⋮ A parallel coupling strategy for the Chimera and domain decomposition methods in computational mechanics ⋮ A computational methodology to study coupled physical processes over partitioned domains ⋮ Mortar element methods for parabolic problems ⋮ The method of mothers for non-overlapping non-matching DDM ⋮ Reduced Basis Isogeometric Mortar Approximations for Eigenvalue Problems in Vibroacoustics ⋮ Mortar finite volume element method with Crouzeix-Raviart element for parabolic problems ⋮ A non-invasive implementation of a mixed domain decomposition method for frictional contact problems ⋮ Neumann-Neumann algorithms for a mortar Crouzeix-Raviart element for 2nd order elliptic problems ⋮ A mortar edge element method with nearly optimal convergence for three-dimensional Maxwell's equations ⋮ A natural domain decomposition method with non-matching grids ⋮ The mortar element method for nonselfadjoint parabolic problem ⋮ On mortar-type Morley element method for plate bending problem ⋮ A Neumann-Neumann algorithm for a mortar discretization of elliptic problems with discontinuous coefficients ⋮ A computational strategy for thermo-poroelastic structures with a time-space interface coupling ⋮ Convergence analysis of a projection semi-implicit coupling scheme for fluid-structure interaction problems ⋮ A Slideing Mesh-Mortar Method for a two Dimensional Currents Model of Electric Engines ⋮ Numerical integrations and unit resolution multipliers for domain decomposition methods with nonmatching grids ⋮ Locking free matching of different three dimensional models in structural mechanics ⋮ Multipatch isogeometric mortar methods for thick shells ⋮ Algebraically stabilized Lagrange multiplier method for frictional contact mechanics with hydraulically active fractures ⋮ Parallel 3D mortar element method for adaptive nonconforming meshes ⋮ The Influence of Quadrature Errors on Isogeometric Mortar Methods ⋮ A Comparison of Dual Lagrange Multiplier Spaces for Mortar Finite Element Discretizations ⋮ HP-finite element approximations on non-matching grids for partial differential equations with non-negative characteristic form ⋮ Finite element methods on non-conforming grids by penalizing the matching constraint ⋮ Domain decomposition methods for domain composition purpose: chimera, overset, gluing and sliding mesh methods ⋮ Isogeometric mortar methods ⋮ A posterioriError Estimates For the3D Stabilized Mortar Finite Element Method applied to the Laplace Equation ⋮ Dirichlet boundary value correction using Lagrange multipliers ⋮ An isogeometric mortar method for the coupling of multiple NURBS domains with optimal convergence rates ⋮ A multilevel preconditioner for the mortar method for nonconformingP1finite element ⋮ Mesh tying on curved interfaces in 3D ⋮ Incorporation of linear multipoint constraints in domain-decomposition-based iterative solvers. II: Blending FETI-DP and mortar methods and assembling floating substructures ⋮ A discontinuous stabilized mortar method for general 3D elastic problems ⋮ The \(hp\)-mortar finite-element method for the mixed elasticity and Stokes problems ⋮ Stability and convergence of nonconforming \(hp\) finite-element methods ⋮ Multigrid on the interface for mortar mixed finite element methods for elliptic problems ⋮ Mortar method for nonconforming finite elements ⋮ Additive Schwarz method for mortar discretization of elliptic problems with \(P_{1}\) nonconforming finite elements ⋮ Uniform convergence and preconditioning method for mortar mixed element method for nonselfadjoint and indefinite problems ⋮ Higher order mortar finite element methods in 3D with dual Lagrange multiplier bases ⋮ A unified mortar condition for nonconforming finite elements ⋮ Additive Schwarz methods for the Crouzeix-Raviart mortar finite element for elliptic problems with discontinuous coefficients ⋮ Uniform convergence and Schwarz method for the mortar element method for non-selfadjoint and indefinite problems ⋮ Dynamically adapted mesh refinement for combustion front tracking. ⋮ The mortar finite volume method with the Crouzeix--Raviart element for elliptic problems
Cites Work
- A spectral element methodology tuned to parallel implementations
- The mortar finite element method with Lagrange multipliers
- A method of finite element tearing and interconnecting and its parallel solution algorithm
- Coupling Finite Element and Spectral Methods: First Results
- Iterative Methods for the Solution of Elliptic Problems on Regions Partitioned into Substructures
- A Fast Solver for Navier–Stokes Equations in the Laminar Regime Using Mortar Finite Element and Boundary Element Methods
- Domain Decomposition with Nonmatching Grids: Augmented Lagrangian Approach
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item