Projection-based stabilization of interface Lagrange multipliers in immersogeometric fluid–thin structure interaction analysis, with application to heart valve modeling
This paper discusses a method of stabilizing Lagrange multiplier fields used to couple thin
immersed shell structures and surrounding fluids. The method retains essential conservation …
immersed shell structures and surrounding fluids. The method retains essential conservation …
Comparison of algebraic multigrid methods for an adaptive space–time finite‐element discretization of the heat equation in 3D and 4D
O Steinbach, H Yang - Numerical Linear Algebra with …, 2018 - Wiley Online Library
The aim of this work is to compare algebraic multigrid (AMG) preconditioned GMRES
methods for solving the nonsymmetric and positive definite linear systems of algebraic …
methods for solving the nonsymmetric and positive definite linear systems of algebraic …
Variational multiscale element free Galerkin (VMEFG) and local discontinuous Galerkin (LDG) methods for solving two-dimensional Brusselator reaction–diffusion …
M Dehghan, M Abbaszadeh - Computer Methods in Applied Mechanics …, 2016 - Elsevier
The finite element method (FEM) is one of the basic methods for solving deterministic and
stochastic partial differential equations. This method is proposed in the 19 decade and after …
stochastic partial differential equations. This method is proposed in the 19 decade and after …
[PDF][PDF] Discontinuous Petrov–Galerkin (DPG) method
L Demkowicz, J Gopalakrishnan - ICES report, 2015 - pdx.edu
The article reviews fundamentals of Discontinuous Petrov-Galerkin (DPG) Method with
Optimal Test Functions. The main idea admits three different interpretations: a Petrov …
Optimal Test Functions. The main idea admits three different interpretations: a Petrov …
[HTML][HTML] New periodic wave, cross-kink wave and the interaction phenomenon for the Jimbo–Miwa-like equation
By means of symbolic computation with the help of Maple, diverse of exact solutions for the
Jimbo–Miwa-like equation are successfully derived, based on the generalized bilinear …
Jimbo–Miwa-like equation are successfully derived, based on the generalized bilinear …
Interior penalty discontinuous Galerkin technique for solving generalized Sobolev equation
M Abbaszadeh, M Dehghan - Applied Numerical Mathematics, 2020 - Elsevier
This paper proposes a discontinuous Galerkin method to solve the generalized Sobolev
equation. In this numerical procedure, the temporal variable has been discretized by the …
equation. In this numerical procedure, the temporal variable has been discretized by the …
High-order polygonal discontinuous Petrov–Galerkin (PolyDPG) methods using ultraweak formulations
This work represents the first endeavor in using ultraweak formulations to implement high-
order polygonal finite element methods via the discontinuous Petrov–Galerkin (DPG) …
order polygonal finite element methods via the discontinuous Petrov–Galerkin (DPG) …
Equivalence between the DPG method and the exponential integrators for linear parabolic problems
Abstract The Discontinuous Petrov-Galerkin (DPG) method and the exponential integrators
are two well established numerical methods for solving Partial Differential Equations (PDEs) …
are two well established numerical methods for solving Partial Differential Equations (PDEs) …
Diverse exact analytical solutions and novel interaction solutions for the (2+ 1)-dimensional Ito equation
Y Feng, S Bilige, X Wang - Physica Scripta, 2020 - iopscience.iop.org
In this paper, we studied a novel form of exact analytical solutions of (2+ 1)-dimensional Ito
equation based on Hirota bilinear method. By using symbolic computation, assorted exact …
equation based on Hirota bilinear method. By using symbolic computation, assorted exact …
A DPG method for steady viscous compressible flow
Abstract The Discontinuous Petrov–Galerkin (DPG) method is a class of novel higher order
adaptive finite element methods derived from the minimization of the residual of the …
adaptive finite element methods derived from the minimization of the residual of the …