New 25-point stencils with optimal accuracy for 2-D heat transfer problems. Comparison with the quadratic isogeometric elements

SoftIGA: soft isogeometric analysis ⋮ 11-th order of accuracy for numerical solution of 3-D Poisson equation with irregular interfaces on unfitted Cartesian meshes ⋮ Optimal local truncation error method for solution of wave and heat equations for heterogeneous materials with irregular interfaces and unfitted Cartesian meshes ⋮ A high-order numerical approach with Cartesian meshes for modeling of wave propagation and heat transfer on irregular domains with inhomogeneous materials

CUDA

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Three discontinuous Galerkin schemes for the anisotropic heat conduction equation on non-aligned grids
A second order virtual node method for elliptic problems with interfaces and irregular domains in three dimensions
Fictitious domain finite element methods using cut elements. I: A stabilized Lagrange multiplier method
Shell finite cell method: a high order fictitious domain approach for thin-walled structures
The embedded finite difference method for the Poisson equation in a domain with an irregular boundary and Dirichlet boundary conditions
Dispersion reducing methods for edge discretizations of the electric vector wave equation
A second order virtual node method for elliptic problems with interfaces and irregular domains
Isogeometric analysis of structural vibrations
A comparison of fictitious domain methods appropriate for spectral/\(hp\) element discretisations
Numerical solution of the wave equation with variable wave speed on nonconforming domains by high-order difference potentials
Poisson equations in irregular domains with Robin boundary conditions -- solver with second-order accurate gradients
Superconvergent isogeometric free vibration analysis of Euler-Bernoulli beams and Kirchhoff plates with new higher order mass matrices
Stable FEM-FDTD hybrid method for Maxwell's equations
A new 3-d numerical approach to the solution of PDEs with optimal accuracy on irregular domains and Cartesian meshes
An explicit implicit scheme for cut cells in embedded boundary meshes
The treatment of the Neumann boundary conditions for a new numerical approach to the solution of PDEs with optimal accuracy on irregular domains and Cartesian meshes
A new numerical approach to the solution of the 2-D Helmholtz equation with optimal accuracy on irregular domains and Cartesian meshes
An energetically consistent concurrent multiscale method for heterogeneous heat transfer and phase transition applications
Mixed isogeometric finite cell methods for the Stokes problem
Optimal reduction of numerical dispersion for wave propagation problems. I: Application to 1-d isogeometric elements
The use of the local truncation error for the increase in accuracy of the linear finite elements for heat transfer problems
Dispersion-optimized quadrature rules for isogeometric analysis: modified inner products, their dispersion properties, and optimally blended schemes
A quadrature-based superconvergent isogeometric frequency analysis with macro-integration cells and quadratic splines
Optimal reduction of numerical dispersion for wave propagation problems. II: Application to 2-D isogeometric elements
Spectral approximation properties of isogeometric analysis with variable continuity
The use of the local truncation error to improve arbitrary-order finite elements for the linear wave and heat equations
Dispersion optimized quadratures for isogeometric analysis
Novel higher order mass matrices for isogeometric structural vibration analysis
A parallel fictitious domain multigrid preconditioner for the solution of Poisson's equation in complex geometries
Duality and unified analysis of discrete approximations in structural dynamics and wave propagation: comparison of p-method finite elements with \(k\)-method NURBS
Direct and sparse construction of consistent inverse mass matrices: general variational formulation and application to selective mass scaling
M-ADAPTATION METHOD FOR ACOUSTIC WAVE EQUATION ON SQUARE MESHES
Introduction to Finite Element Analysis
Optimally Blended Spectral-Finite Element Scheme for Wave Propagation and NonStandard Reduced Integration
State-space time integration with energy control and fourth-order accuracy for linear dynamic systems
Dispersion analysis of finite element semidiscretizations of the two-dimensional wave equation
A Hybrid Time-Domain Technique That Combines the Finite Element, Finite Difference and Method of Moment Techniques to Solve Complex Electromagnetic Problems
Dispersion-corrected explicit integration of the wave equation
Accurate artificial boundary conditions for the semi-discretized linear Schrödinger and heat equations on rectangular domains