XIGA: an eXtended IsoGeometric analysis approach for multi-material problems (Q2683306)

scientific article; zbMATH DE number 7652873

Language	Label	Description	Also known as
English	XIGA: an eXtended IsoGeometric analysis approach for multi-material problems	scientific article; zbMATH DE number 7652873

Statements

instance of

scholarly article

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title

XIGA: an eXtended IsoGeometric analysis approach for multi-material problems (English)

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author

Yanyan Li

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published in

Computational Mechanics

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publication date

10 February 2023

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full work available at URL

https://arxiv.org/abs/2202.05697

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zbMATH Keywords

immersed boundary technique

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enrichment

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B-spline

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ghost stabilization

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heat transfer

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elasticity

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describes a project that uses

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A robust Nitsche's formulation for interface problems

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Q3817903

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THE PARTITION OF UNITY METHOD

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Robust high-order unfitted finite elements by interpolation-based discrete extension

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Isogeometric analysis using T-splines

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Elastic crack growth in finite elements with minimal remeshing

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Ghost penalty

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A Penalty-Free Nonsymmetric Nitsche-Type Method for the Weak Imposition of Boundary Conditions

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

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Fictitious domain finite element methods using cut elements. II: A stabilized Nitsche method

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Fictitious domain methods using cut elements: III. A stabilized Nitsche method for Stokes’ problem

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CutFEM: Discretizing geometry and partial differential equations

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A bilinear partially penalized immersed finite element method for elliptic interface problems with multi-domain and triple-junction points

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Higher-order XFEM for curved strong and weak discontinuities

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Isogeometric Analysis

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On calculating with B-splines

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Condition number analysis and preconditioning of the finite cell method

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An efficient finite element method for embedded interface problems

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Studied X-FEM enrichment to handle material interfaces with higher order finite element

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

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A new least squares stabilized Nitsche method for cut isogeometric analysis

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\(n\)-widths, sup-infs, and optimality ratios for the \(k\)-version of the isogeometric finite element method

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Algorithms for the implementation of adaptive isogeometric methods using hierarchical B-splines

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

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A fictitious domain method for Dirichlet problem and applications

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Development of a quadratic finite element formulation based on the XFEM and NURBS

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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 for the simulation of strong and weak discontinuities in solid mechanics

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Weighted extended B-spline approximation of Dirichlet problems

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A Numerical Method for Solving the Elliptic Interface Problems with Multi-Domains and Triple Junction Points

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Duality and unified analysis of discrete approximations in structural dynamics and wave propagation: comparison of p-method finite elements with \(k\)-method NURBS

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Finite element and NURBS approximations of eigenvalue, boundary-value, and initial-value problems

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

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Extended isogeometric analysis for material interface problems

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A robust Nitsche's formulation for interface problems with spline-based finite elements

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An immersogeometric variational framework for fluid-structure interaction: application to bioprosthetic heart valves

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Q4899691

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A simple and efficient preconditioning scheme for Heaviside enriched XFEM

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Strong and weak arbitrary discontinuities in spectral finite elements

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High order X-FEM and levelsets for complex microstructures: uncoupling geometry and approximation

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

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A finite element method for crack growth without remeshing

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Finite element analysis on implicitly defined domains: an accurate representation based on arbitrary parametric surfaces

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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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Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations

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

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

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Flow patterns around heart valves: A numerical method

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

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Immersed b-spline (i-spline) finite element method for geometrically complex domains

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High-order quadrature on multi-component domains implicitly defined by multivariate polynomials

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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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The non-symmetric Nitsche method for the parameter-free imposition of weak boundary and coupling conditions in immersed finite elements

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Hierarchical interface-enriched finite element method: an automated technique for mesh-independent simulations

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An interface-enriched generalized FEM for problems with discontinuous gradient fields

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Geometrically accurate, efficient, and flexible quadrature techniques for the tetrahedral finite cell method

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An extended finite element method with higher-order elements for curved cracks

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The design and analysis of the generalized finite element method

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Q4494596

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Finite cover method for linear and non-linear analyses of heterogeneous solids

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A multiple level set approach to prevent numerical artefacts in complex microstructures with nearby inclusions within XFEM

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A multiphase level set framework for image segmentation using the Mumford and Shah model

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MIB method for elliptic equations with multi-material interfaces

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New crack‐tip elements for XFEM and applications to cohesive cracks

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Identifiers

Mathematics Subject Classification ID

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10.1007/S00466-022-02200-Y

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Sitelinks

Mathematics(1 entry)

mardi Publication:2683306