Frontiers in Mortar Methods for Isogeometric Analysis (Q5053158)

scientific article; zbMATH DE number 7626697

Language	Label	Description	Also known as
English	Frontiers in Mortar Methods for Isogeometric Analysis	scientific article; zbMATH DE number 7626697

Statements

instance of

scholarly article

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title

Frontiers in Mortar Methods for Isogeometric Analysis (English)

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Non-standard Discretisation Methods in Solid Mechanics

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publication date

6 December 2022

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full work available at URL

https://arxiv.org/abs/2006.06677

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describes a project that uses

Nike2D

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ParMoonolith

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MaRDI profile type

MaRDI publication profile

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cites work

The mortar finite element method with Lagrange multipliers

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Isogeometric shell analysis: the Reissner-Mindlin shell

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A large deformation, rotation-free, isogeometric shell

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A higher-order phase-field model for brittle fracture: formulation and analysis within the isogeometric analysis framework

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\(C^0\) interior penalty methods for fourth order elliptic boundary value problems on polygonal domains

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Isogeometric mortar methods

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Isogeometric Analysis

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Studies of refinement and continuity in isogeometric structural analysis

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Isogeometric analysis of structural vibrations

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Overlapping Schwarz Methods for Isogeometric Analysis

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A large deformation frictional contact formulation using NURBS-based isogeometric analysis

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A mortar formulation for 3D large deformation contact using NURBS-based isogeometric analysis and the augmented Lagrangian method

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Efficient simulation of multi-body contact problems on complex geometries: A flexible decomposition approach using constrained minimization

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Variational phase-field formulation of non-linear ductile fracture

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Isogeometric analysis and thermomechanical mortar contact problems

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Multi-patch isogeometric analysis for Kirchhoff-Love shell elements

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Crosspoint modification for multi-patch isogeometric analysis

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Isogeometric Reissner-Mindlin shell analysis with exactly calculated director vectors

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An efficient and robust rotational formulation for isogeometric Reissner-Mindlin shell elements

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A hierarchic family of isogeometric shell finite elements

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Coupling Molecular Dynamics and Continua with Weak Constraints

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Isogeometric analysis of 2D gradient elasticity

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Mortar methods with curved interfaces

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A new dual mortar method for curved interfaces: 2D elasticity

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Isogeometric analysis of the Cahn-Hilliard phase-field model

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A stable energy-conserving approach for frictional contact problems based on quadrature formulas

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Sliding interfaces with contact-impact in large-scale Lagrangian computations

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High-order accurate solution of the incompressible Navier-Stokes equations on massively parallel computers

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A mortar method for energy-momentum conserving schemes in frictionless dynamic contact problems

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Isogeometric analysis and domain decomposition methods

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Hierarchical NURBS and a higher-order phase-field approach to fracture for finite-deformation contact problems

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A mortar approach for fluid-structure interaction problems: immersed strategies for deformable and rigid bodies

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Finite Element Methods with B-Splines

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A hybrid isogeometric approach on multi-patches with applications to Kirchhoff plates and eigenvalue problems

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A priori error estimates and an inexact primal-dual active set strategy for linear and quadratic finite elements applied to multibody contact problems

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A Primal-Dual Active Set Algorithm for Three-Dimensional Contact Problems with Coulomb Friction

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A primal--dual active set strategy for nonlinear multibody contact problems

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Thermo-mechanical contact problems on non-matching meshes

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

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Multidimensional coupling: a variationally consistent approach to fiber-reinforced materials

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Isogeometric shell analysis with Kirchhoff-Love elements

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Fluid-structure interaction for non-conforming interfaces based on a dual mortar formulation

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Towards a large-scale scalable adaptive heart model using shallow tree meshes

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Enabling local time stepping in the parallel implicit solution of reaction-diffusion equations via space-time finite elements on shallow tree meshes

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A Parallel Approach to the Variational Transfer of Discrete Fields between Arbitrarily Distributed Unstructured Finite Element Meshes

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A mixed variational formulation for a class of contact problems in viscoelasticity

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An immersed boundary method for fluid-structure interaction based on variational transfer

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Scalable hierarchical PDE sampler for generating spatially correlated random fields using nonmatching meshes

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Q4426208

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Flow patterns around heart valves: A numerical method

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A three-dimensional computational method for blood flow in the heart. I: Immersed elastic fibers in a viscous incompressible fluid

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A dual mortar approach for 3D finite deformation contact with consistent linearization

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Improved robustness and consistency of 3D contact algorithms based on a dual mortar approach

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Dual Quadratic Mortar Finite Element Methods for 3D Finite Deformation Contact

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A mortar segment-to-segment contact method for large deformation solid mechanics.

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A mortar segment-to-segment frictional contact method for large deformations

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An isogeometric collocation approach for Bernoulli-Euler beams and Kirchhoff plates

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Isogeometric dual mortar methods for computational contact mechanics

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A semi-smooth Newton method for orthotropic plasticity and frictional contact at finite strains

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A mortar-type finite element approach for embedding 1D beams into 3D solid volumes

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Hybrid Models for Simulating Blood Flow in Microvascular Networks

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Modelling of hydro-mechanical processes in heterogeneous fracture intersections using a fictitious domain method with variational transfer operators

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Simulation of hydro-mechanically coupled processes in rough rock fractures using an immersed boundary method and variational transfer operators

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Isogeometric collocation methods for Cosserat rods and rod structures

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A Mortar Finite Element Method Using Dual Spaces for the Lagrange Multiplier

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Discretization methods and iterative solvers based on domain decomposition

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An a posteriori error estimator for two-body contact problems on non-matching meshes

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Variationally consistent discretization schemes and numerical algorithms for contact problems

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A Multigrid Method Based on the Unconstrained Product Space for Mortar Finite Element Discretizations

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Biorthogonal splines for optimal weak patch-coupling in isogeometric analysis with applications to finite deformation elasticity

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Identifiers

DOI

10.1007/978-3-030-92672-4_15

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:5053158