Efficient integration method for fictitious domain approaches (Q889674): Difference between revisions

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scientific article

Language	Label	Description	Also known as
English	Efficient integration method for fictitious domain approaches	scientific article

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scholarly article

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Efficient integration method for fictitious domain approaches (English)

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Computational Mechanics

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publication date

9 November 2015

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zbMATH Keywords

fictitious domain method

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finite cell method

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numerical quadrature

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divergence theorem

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contour integral

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describes a project that uses

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MaRDI profile type

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full work available at URL

https://doi.org/10.1007/s00466-015-1197-3

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Isogeometric Analysis

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Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement

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A finite element method for crack growth without remeshing

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

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

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Distributed Lagrange multipliers based on fictitious domain method for second order elliptic problems

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A fictitious domain approach with spread interface for elliptic problems with general boundary conditions

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A general fictitious domain method with immersed jumps and multilevel nested structured meshes

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Finite element method. Vol. 1: The basis.

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Introduction to Finite Element Analysis

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Non-standard bone simulation: interactive numerical analysis by computational steering

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Numerical homogenization of heterogeneous and cellular materials utilizing the finite cell method

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The \(hp\)-\(d\)-adaptive finite cell method for geometrically nonlinear problems of solid mechanics

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Small and large deformation analysis with the \(p\)- and B-spline versions of the finite cell method

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Topology optimization using the finite cell method

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Local enrichment of the finite cell method for problems with material interfaces

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The finite cell method for linear thermoelasticity

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The finite and spectral cell methods for smart structure applications: transient analysis

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Numerical analysis of Lamb waves using the finite and spectral cell methods

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Finite and spectral cell method for wave propagation in heterogeneous materials

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Modelling of wave propagation in composite plates using the time domain spectral element method

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A spectral element method for fluid dynamics: Laminar flow in a channel expansion

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The spectral element method for elastic wave equations—application to 2-D and 3-D seismic problems

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PERFORMANCE OF DIFFERENT INTEGRATION SCHEMES IN FACING DISCONTINUITIES IN THE FINITE CELL METHOD

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A Legendre spectral element method for the Stefan problem

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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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Weakly enforced essential boundary conditions for NURBS-embedded and trimmed NURBS geometries on the basis of the finite cell method

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Boundary integration over linear polyhedra

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A SET OF HYBRID EQUILIBRIUM FINITE ELEMENT MODELS FOR THE ANALYSIS OF THREE-DIMENSIONAL SOLIDS

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Integration of polynomials over linear polyhedra in Euclidean three-dimensional space

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An accurate, robust, and easy-to-implement method for integration over arbitrary polyhedra: application to embedded interface methods

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The radial integration method for evaluation of domain integrals with boundary-only discretization.

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A general method for evaluation of 2D and 3D domain integrals without domain discretization and its application in BEM

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Product Gauss cubature over polygons based on Green's integration formula

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Theoretical and numerical investigation of the finite cell method

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A fast method of numerical quadrature for <i>p</i>‐version finite element matrices

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Fully discrete \(hp\)-finite elements: Fast quadrature

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Weak coupling for isogeometric analysis of non-matching and trimmed multi-patch geometries

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Quasi-regional mapping for the \(p\)-version of the finite element method

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Recent advances in the construction of polygonal finite element interpolants

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APPLICATION OF POLYGONAL FINITE ELEMENTS IN LINEAR ELASTICITY

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\texttt{PolyTop}: a Matlab implementation of a general topology optimization framework using unstructured polygonal finite element meshes

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Isogeometric finite element data structures based on Bézier extraction of NURBS

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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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10.1007/S00466-015-1197-3

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Sitelinks

Mathematics(1 entry)

mardi Publication:889674

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