The Finite Element Method: Theory, Implementation, and Applications

From MaRDI portal
Publication:2919631

DOI10.1007/978-3-642-33287-6zbMath1263.65116OpenAlexW594157154MaRDI QIDQ2919631

Mats G. Larson, Fredrik Bengzon

Publication date: 5 October 2012

Published in: Texts in Computational Science and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-642-33287-6




Related Items

Some theoretical results regarding the polygonal distributionIsotropic Cloak Materials Design Based on the Numerical Optimization Method of the Inverse Medium ProblemArbitrary Lagrangian-Eulerian finite element method for curved and deforming surfaces. I: General theory and application to fluid interfacesGradient flow finite element discretizations with energy-based adaptivity for the Gross-Pitaevskii equationHigh-Order Polynomial Recovery in Finite Element Advection SchemesEnergy stable and accurate coupling of finite element methods and finite difference methodsAdaptive finite element method for two-dimensional time-harmonic magnetic induction intensity equationsTwo-level schemes for the advection equationGeneralized multiscale finite-element method (GMsFEM) for elastic wave propagation in heterogeneous, anisotropic mediaOn the simultaneous recovery of boundary heat transfer coefficient and initial heat statusAn adaptive strategy for solving convection dominated diffusion equationHigh-order cut finite elements for the elastic wave equationDomain-Dependent Stability Analysis of a Reaction–Diffusion Model on Compact Circular GeometriesA stabilized finite element method for the Stokes-Stokes coupling interface problemClassification of parameter spaces for a reaction-diffusion model on stationary domainsA weak-intrusive stochastic finite element method for stochastic structural dynamics analysisNonconforming spectral element method: a friendly introduction in one dimension and a short review in higher dimensionsA coupled nonlinear finite element scheme for anisotropic diffusion equation with nonlinear capacity termSparse estimation of historical functional linear models with a nested group bridge approachSecondary dispersal of seagrass seeds in complex microtopographiesComparison of continuous and discontinuous Galerkin approaches for variable‐viscosity Stokes flowA reduced order model for the finite element approximation of eigenvalue problemsStochastic diffusion processes on Cartesian meshesA parallel and adaptative Nitsche immersed boundary method to simulate viscous mixingA meshfree approach to non-Newtonian free surface ice flow: application to the Haut Glacier d'ArollaAn Adaptive Non-Intrusive Multi-Fidelity Reduced Basis Method for Parameterized Partial Differential EquationsA high-order residual-based viscosity finite element method for incompressible variable density flowNumerical Solution of the Wave Propagation Problem in a PlateEvaluation of a finite element formulation for the shallow water equations with numerical smoothing in the Gulf of San JorgeThree interior penalty DG methods for stationary incompressible magnetohydrodynamicsA Finite Element Variational Multiscale Method for Stationary Incompressible Magnetohydrodynamics EquationsResonance study of spring pendulum based on asymptotic solutions with polynomial approximation in quadratic meansAccelerating binary asteroid system propagation via nested interpolation methodSmoothened Complete Electrode ModelComparative analysis of obstacle approximation strategies for the steady incompressible Navier-Stokes equationsNew analysis of mixed FEMs for dynamical incompressible magnetohydrodynamicsCalculation of Exposure Profiles and Sensitivities of Options under the Heston and the Heston Hull-White ModelsApproximating Gaussian Process Emulators with Linear Inequality Constraints and Noisy Observations via MC and MCMCFinite element approximation of the Laplace-Beltrami operator on a surface with boundaryFinite Element Approximation Using WEB-Splines for the Heat EquationA level-set approach based on reaction–diffusion equation applied to inversion problems in acoustic wave propagationChebyshev pseudospectral method in the reconstruction of orthotropic conductivityThermal Tomography with Unknown BoundaryOn the rate of convergence for approximation of an eigenvalue problem describing vibrations of axisymmetric revolution elastic shellsA GPU-Accelerated Hybridizable Discontinuous Galerkin Method for Linear ElasticityBifidelity data-assisted neural networks in nonintrusive reduced-order modelingAnisotropic radial basis function methods for continental size ice sheet simulationsFESTUNG: A~MATLAB/GNU~Octave~toolbox for the discontinuous Galerkin method. I: Diffusion operatorThree-level schemes for the advection equationA phase separation problem and geodesic disks on Cassinian oval surfacesDecoupling schemes for predicting compressible fluid flowsUnconditionally optimal error estimates of two linearized Galerkin FEMs for the two-dimensional nonlinear fractional Rayleigh-Stokes problemA minimum Sobolev norm technique for the numerical discretization of PDEsA new class of differential nonlinear system involving parabolic variational and history-dependent hemi-variational inequalities arising in contact mechanicsStability Analysis and Parameter Classification of a Reaction-Diffusion Model on an AnnulusDual system least squares finite element method for the Helmholtz equationAn adaptive interpolation element free Galerkin method based on a posteriori error estimation of FEM for Poisson equationThe spectral element method as an efficient tool for transient simulations of hydraulic systemsConvergence analysis of virtual element methods for semilinear parabolic problems on polygonal meshesA parallel-in-time implementation of the Numerov method for wave equationsA Variable-Separation Method for Nonlinear Partial Differential Equations With Random InputsStability analysis of high order methods for the wave equationA stabilized Nitsche cut element method for the wave equationA rigorous and unified mass lumping scheme for higher-order elementsCut finite element methods for elliptic problems on multipatch parametric surfacesAn improved first order local regularization method for ill-posed Volterra equationsNumerical solution of boundary value problems for the eikonal equation in an anisotropic mediumA mass lumping scheme for the 10-node tetrahedral elementOn Lagrangian schemes for porous medium type generalized diffusion equations: a discrete energetic variational approachAn ADMM-Newton-CNN numerical approach to a TV model for identifying discontinuous diffusion coefficients in elliptic equations: convex case with gradient observationsA two-grid method for finite element solution of parabolic integro-differential equationsA mathematical model for human-to-human transmission of COVID-19: a case study for Turkey's dataFully Parallel Mesh I/O Using PETSc DMPlex with an Application to Waveform ModelingAn efficient algorithm based on Broyden's and generalized-\(\boldsymbol{\alpha}\) method for large scale flexible multi-body systemsPredicting coastal profiles evolution from a diffusion model based on real dataA continuous/discontinuous Galerkin method and a priori error estimates for the biharmonic problem on surfaces


Uses Software



This page was built for publication: The Finite Element Method: Theory, Implementation, and Applications