Infinite elements
From MaRDI portal
Publication:4136472
DOI10.1002/nme.1620110107zbMath0362.65093OpenAlexW4244209061MaRDI QIDQ4136472
Publication date: 1977
Published in: International Journal for Numerical Methods in Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/nme.1620110107
Incompressible viscous fluids (76D99) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Applications to the sciences (65Z05)
Related Items (only showing first 100 items - show all)
Non Uniform Rational B-Splines and Lagrange approximations for time-harmonic acoustic scattering: accuracy and absorbing boundary conditions ⋮ Solving the fixed gravimetric boundary value problem by the finite element method using mapped infinite elements. ⋮ Gradient viscoelastic virtual boundary for numerical simulation of wave propagation ⋮ An arbitrary Lagrangian-Eulerian method for analyzing finite-amplitude viscous acoustic waves radiated from vibrational solid boundaries: an implicit method ⋮ Full‐vectorial finite element solution to open waveguide problems using adaptive perfectly matched layers ⋮ Learned Infinite Elements ⋮ A fast method for solving acoustic scattering problems in frequency bands ⋮ The ill-conditioning of infinite element stiffness matrices ⋮ On two-dimensional infinite elements utilizing basis functions with compact support ⋮ Three-dimensional infinite elements utilizing basis functions with compact support ⋮ Infinite elements for axisymmetric electrical field problems with open boundaries ⋮ Simulation of transient heat conduction using one-dimensional mapped infinite elements ⋮ FREQUENCY-INDEPENDENT INFINITE ELEMENTS FOR ANALYSING SEMI-INFINITE PROBLEMS ⋮ A survey of finite element methods for time-harmonic acoustics ⋮ A scaled wave finite element method for computing scalar wave radiation and scattering in exterior domains ⋮ Finite and infinite elements for a simple problem in quantum mechanics ⋮ The stability of infinite element schemes for transient wave problems ⋮ Accurate finite element method for steady and quasisteady lifting aerofoil ⋮ 2.5D elastic wave propagation in non-homogeneous media coupling the BEM and MLPG methods ⋮ Dynamic fracture analysis of the soil-structure interaction system using the scaled boundary finite element method ⋮ A computational method for the Helmholtz equation in unbounded domains based on the minimization of an integral functional ⋮ 2-D finite element analysis of rigid pavement considering dynamic vehicle-pavement interaction effects ⋮ Universal matrices with new infinite elements for quasiharmonic equation ⋮ Reducing spurious dispersion, anisotropy and reflection in finite element analysis of time-harmonic acoustics ⋮ Finite element modeling of scattering problems involving infinite domains using drilling degrees of freedom ⋮ The coupled finite element and boundary integral analysis of ocean wave loading: A versatile tool ⋮ Numerical simulation for the problem of infinite elastic foundation ⋮ \(h\)-adaptive finite element computation of time-harmonic exterior acoustics problems in two dimensions ⋮ A local collocation method to construct Dirichlet-type absorbing boundary conditions for transient scalar wave propagation problems ⋮ Isogeometric boundary element method for acoustic scattering by a submarine ⋮ Krylov subspaces recycling based model order reduction for acoustic BEM systems and an error estimator ⋮ The numerical manifold method for exterior problems ⋮ On perfectly matched layers for discontinuous Petrov-Galerkin methods ⋮ INFINITE ELEMENTS FOR CYLINDRICAL GEOMETRIES ⋮ A posteriori finite element error bounds for non-linear outputs of the Helmholtz equation ⋮ Design of an efficient multi-directional explicit/implicit Rayleigh absorbing layer for seismic wave propagation in unbounded domain using a strong form formulation ⋮ Analytical solutions of mass transport problems for error estimation of finite/infinite element methods ⋮ On boundary conditions for unbounded flows ⋮ A theoretical study of charge iteration ⋮ A comparison between hybrid methods: FEM-BEM versus FEM-DBCI ⋮ Effects of hot intrusions on pore-fluid flow and heat transfer in fluid-saturated rocks. ⋮ Infinite boundary elements in 2D elasticity ⋮ Calculation of electromagnetic scattering by a perfect conductor ⋮ The coupling method of finite elements and boundary elements for radiation problem ⋮ A REFLECTION FREE BOUNDARY CONDITION FOR PROPAGATION IN UNIFORM FLOW USING MAPPED INFINITE WAVE ENVELOPE ELEMENTS ⋮ ANALYTICAL AND NUMERICAL STUDIES OF A FINITE ELEMENT PML FOR THE HELMHOLTZ EQUATION ⋮ A REVIEW OF INFINITE ELEMENT METHODS FOR EXTERIOR HELMHOLTZ PROBLEMS ⋮ FINITE ELEMENT SOLUTION OF TWO-DIMENSIONAL ACOUSTIC SCATTERING PROBLEMS USING ARBITRARILY SHAPED CONVEX ARTIFICIAL BOUNDARIES ⋮ THREE-DIMENSIONAL INFINITE ELEMENTS BASED ON A TREFFTZ FORMULATION ⋮ Fundamentals on Infinite-Domain Interpolations ⋮ Numerical implementations of the FEM‐DBCI integral equation ⋮ Three-dimensional finite/infinite elements analysis of fluid flow in porous media ⋮ Some useful techniques for testing infinite elements ⋮ Generalized Lagrange family for the cube with special reference to infinite-domain interpolations ⋮ Revisiting infinite mapping layer for open domain problems ⋮ A perfectly matched layer formulation adapted for fast frequency sweeps of exterior acoustics finite element models ⋮ Finite Element Analysis of a Scattering Problem ⋮ Finite element computation of absorbing boundary conditions for time-harmonic wave problems ⋮ A finite element alternative to infinite elements ⋮ The weighted finite element method for elasticity equations on unbounded domains ⋮ A new mapped infinite wave element for general wave diffraction problems and its validation on the ellipse diffraction problem ⋮ An ellipsoidal acoustic infinite element ⋮ An infinite element for Maxwell's equations ⋮ Higher-order boundary infinite elements ⋮ A comparison of approximate boundary conditions and infinite element methods for exterior Helmholtz problems ⋮ The direct method of lines for the problem of infinite elastic foundation ⋮ Whittle-Matérn priors for Bayesian statistical inversion with applications in electrical impedance tomography ⋮ A novel ellipsoidal acoustic infinite element ⋮ A FLUX-BASED CONSERVATION APPROACH FOR ACOUSTIC PROBLEMS ⋮ Unnamed Item ⋮ A cost comparison of boundary element and finite element methods for problems of time-harmonic acoustics ⋮ Analysis of continuous formulations underlying the computation of time- harmonic acoustics in exterior domains ⋮ SOLVING TIME-DEPENDENT EQUATIONS OF SCHRÖDINGER-TYPE USING MAPPED INFINITE ELEMENTS ⋮ Finite element methods for the Helmholtz equation in an exterior domain: Model problems ⋮ Galerkin/least-squares finite element methods for the reduced wave equation with non-reflecting boundary conditions in unbounded domains ⋮ FINITE ELEMENT MODELING OF ACOUSTICS USING HIGHER ORDER ELEMENTS PART I: NONUNIFORM DUCT PROPAGATION ⋮ On the indentation of a poroelastic halfspace ⋮ A 2.5D finite/infinite element approach for modelling visco‐elastic bodies subjected to moving loads ⋮ Self-adaptive \(hp\) finite element method with iterative mesh truncation technique accelerated with adaptive cross approximation ⋮ Solving two dimensional second order elliptic equations in exterior domains using the inverted finite elements method ⋮ Regularized combined field integral equations ⋮ A finite element method for the analysis of radiation and scattering of electromagnetic waves on complex environments ⋮ Analysis of a Cartesian PML approximation to acoustic scattering problems in \(\mathbb R^2\) ⋮ Convective heat transfer analysis by the finite element method ⋮ Discretization by rational and quasi-rational functions of multi-dimensional elliptic problems in the whole space ⋮ Infinite element in meshless approaches ⋮ Some considerations about the perfectly matched layer for static fields ⋮ A volume integral equation technique for multiple scattering problems in elastodynamics ⋮ A spectral approach to a constrained optimization problem for the Helmholtz equation in unbounded domains ⋮ A finite element method for large domains ⋮ A combined method for solving elliptic problems on unbounded domains ⋮ Finite and infinite block Petrov-Galerkin method for cracks in functionally graded materials ⋮ Stable high-order absorbing boundary condition based on new continued fraction for scalar wave propagation in unbounded multilayer media ⋮ Isogeometric analysis of acoustic scattering using infinite elements ⋮ Artificial Boundary Method for European Pricing Option Problem ⋮ Wave diffraction using finite and infinite elements ⋮ Analytical solutions for transient diffusion problems in infinite media ⋮ A unified variational approach to domain-based computation of exterior problems of time-harmonic acoustics ⋮ Local absorbing boundaries of elliptical shape for scalar waves ⋮ Isogeometric analysis of acoustic scattering with perfectly matched layers (IGAPML)
Cites Work
This page was built for publication: Infinite elements
