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Multimesh finite element methods: solving PDEs on multiple intersecting meshes (Q1986474)

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Language	Label	Description	Also known as
English	Multimesh finite element methods: solving PDEs on multiple intersecting meshes	scientific article

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scholarly article

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Multimesh finite element methods: solving PDEs on multiple intersecting meshes (English)

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Benjamin Kehlet

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Computer Methods in Applied Mechanics and Engineering

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publication date

8 April 2020

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full work available at URL

https://arxiv.org/abs/1803.08741

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zbMATH Keywords

FEM

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unfitted mesh

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non-matching mesh

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multimesh

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CutFEM

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Nitsche

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describes a project that uses

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MaRDI profile type

MaRDI publication profile

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Über ein Variationsprinzip zur Lösung von Dirichlet-Problemen bei Verwendung von Teilräumen, die keinen Randbedingungen unterworfen sind. (On a variational principle for solving Dirichlet problems less boundary conditions using subspaces)

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An Interior Penalty Finite Element Method with Discontinuous Elements

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An unfitted finite element method, based on Nitsche's method, for elliptic interface problems.

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A finite element method on composite grids based on Nitsche's method

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A unified stabilized method for Stokes' and Darcy's equations

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Stabilized explicit coupling for fluid-structure interaction using Nitsche's method

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A Nitsche extended finite element method for incompressible elasticity with discontinuous modulus of elasticity

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A Nitsche-based cut finite element method for a fluid-structure interaction problem

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CutFEM: Discretizing geometry and partial differential equations

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Geometrically unfitted finite element methods and applications. Proceedings of the UCL workshop, London, UK, January, 6--8, 2016

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Fictitious domain finite element methods using cut elements. I: A stabilized Lagrange multiplier method

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The finite cell method: a review in the context of higher-order structural analysis of CAD and image-based geometric models

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The finite cell method for three-dimensional problems of solid mechanics

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Finite cell method. \(h\)- and \(p\)-extension for embedded domain problems in solid mechanics

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The immersed interface method using a finite element formulation

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The s-version of the finite element method

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On adaptive multilevel superposition of finite element meshes for linear elastostatics

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The extended/generalized finite element method: An overview of the method and its applications

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The extended finite element method (XFEM) for solidification problems

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High order unfitted finite element methods on level set domains using isoparametric mappings

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An unfitted finite element method using discontinuous Galerkin

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A high order discontinuous Galerkin Nitsche method for elliptic problems with fictitious boundary

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Implicit mesh discontinuous Galerkin methods and interfacial gauge methods for high-order accurate interface dynamics, with applications to surface tension dynamics, rigid body fluid-structure interaction, and free surface flow. I

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Implicit mesh discontinuous Galerkin methods and interfacial gauge methods for high-order accurate interface dynamics, with applications to surface tension dynamics, rigid body fluid-structure interaction, and free surface flow. II

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Local enrichment of NURBS patches using a non-intrusive coupling strategy: geometric details, local refinement, inclusion, fracture

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Multi-level \(hp\)-adaptivity: high-order mesh adaptivity without the difficulties of constraining hanging nodes

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An isogeometric design-through-analysis methodology based on adaptive hierarchical refinement of NURBS, immersed boundary methods, and T-spline CAD surfaces

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Adaptive remeshing and \(h-p\) domain decomposition

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A finite element method for domain decomposition with non-matching grids

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Numerical methods for solid mechanics on overlapping grids: linear elasticity

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Parallel computation of three-dimensional flows using overlapping grids with adaptive mesh refinement

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The shear-slip mesh update method

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Novel structural modeling and mesh moving techniques for advanced fluid-structure interaction simulation of wind turbines

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A stabilized Nitsche overlapping mesh method for the Stokes problem

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Efficient Implementation of Finite Element Methods on Nonmatching and Overlapping Meshes in Three Dimensions

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The Mathematical Theory of Finite Element Methods

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Multimesh finite element methods: solving PDEs on multiple intersecting meshes

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Condition number analysis and preconditioning of the finite cell method

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Automated solution of differential equations by the finite element method. The FEniCS book

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Quadrature schemes for arbitrary convex/concave volumes and integration of weak form in enriched partition of unity methods

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Highly accurate surface and volume integration on implicit domains by means of moment-fitting

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Image-based goal-oriented adaptive isogeometric analysis with application to the micro-mechanical modeling of trabecular bone

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High-Order Quadrature Methods for Implicitly Defined Surfaces and Volumes in Hyperrectangles

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Adaptive precision floating-point arithmetic and fast robust geometric predicates

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An efficient algorithm for determining the convex hull of a finite planar set

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Generalized Gaussian quadrature rules on arbitrary polygons

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\textit{BoomerAMG}: A parallel algebraic multigrid solver and preconditioner

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Shape Optimization Using the Finite Element Method on Multiple Meshes with Nitsche Coupling

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Identifiers

zbMATH Open document ID

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Mathematics Subject Classification ID

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zbMATH DE Number

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10.1016/J.CMA.2018.09.009

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Sitelinks

Mathematics(1 entry)

mardi Publication:1986474

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