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Isogeometric Analysis with Proper Orthogonal Decomposition for Elastodynamics

期刊: COMMUNICATIONS IN COMPUTATIONAL PHYSICS, 2021; 30 (2)

We consider reduced order modelling of elastodynamics with proper orthogonal decomposition and isogeometric analysis, a recent novel and promising dis......

A Hermite WENO Method with Modified Ghost Fluid Method for Compressible Two-Medium Flow Problems

期刊: COMMUNICATIONS IN COMPUTATIONAL PHYSICS, 2021; 30 (3)

In this paper, we develop a novel approach by combining a new robust finite difference Hermite weighted essentially non-oscillatory (HWENO) method [51......

A Simple Low-Degree Optimal Finite Element Scheme for the Elastic Transmission Eigenvalue Problem

期刊: COMMUNICATIONS IN COMPUTATIONAL PHYSICS, 2021; 30 (4)

The paper presents a finite element scheme for the elastic transmission eigenvalue problem written as a fourth order eigenvalue problem. The scheme us......

An Augmented Lagrangian Uzawa Iterative Method for Solving Double Saddle-Point Systems with Semidefinite (2,2) Block and its Application to DLM/FD Method for Elliptic Interface Problems

期刊: COMMUNICATIONS IN COMPUTATIONAL PHYSICS, 2021; 30 (1)

In this paper, an augmented Lagrangian Uzawa iterative method is developed and analyzed for solving a class of double saddle-point systems with semi d......

Grad-div Stabilized Finite Element Schemes for the Fluid-Fluid Interaction Model

期刊: COMMUNICATIONS IN COMPUTATIONAL PHYSICS, 2021; 30 (2)

In this work, two fully discrete grad-div stabilized finite element schemes for the fluid-fluid interaction model are considered. The first scheme is ......

An Efficient Positivity-Preserving Finite Volume Scheme for the Nonequilibrium Three-Temperature Radiation Diffusion Equations on Polygonal Meshes

期刊: COMMUNICATIONS IN COMPUTATIONAL PHYSICS, 2021; 30 (2)

This paper develops an efficient positivity-preserving finite volume scheme for the two-dimensional nonequilibrium three-temperature radiation diffusi......

Non-Intrusive Reduced Order Modeling of Convection Dominated Flows Using Artificial Neural Networks with Application to Rayleigh-Taylor Instability

期刊: COMMUNICATIONS IN COMPUTATIONAL PHYSICS, 2021; 30 (1)

A non-intrusive reduced order model (ROM) that combines a proper orthogonal decomposition (POD) and an artificial neural network (ANN) is primarily st......

A Sparse Grid Discrete Ordinate Discontinuous Galerkin Method for the Radiative Transfer Equation

期刊: COMMUNICATIONS IN COMPUTATIONAL PHYSICS, 2021; 30 (4)

The radiative transfer equation is a fundamental equation in transport theory and applications, which is a 5-dimensional PDE in the stationary one-vel......

A Second-Order Scheme with Nonuniform Time Steps for a Linear Reaction-Subdiffusion Problem

期刊: COMMUNICATIONS IN COMPUTATIONAL PHYSICS, 2021; 30 (2)

It is reasonable to assume that a discrete convolution structure dominates the local truncation error of any numerical Caputo formula because the frac......

A Simple 3D Immersed Interface Method for Stokes Flow with Singular Forces on Staggered Grids

期刊: COMMUNICATIONS IN COMPUTATIONAL PHYSICS, 2021; 30 (1)

In this paper, a fairly simple 3D immersed interface method based on the CG-Uzawa type method and the level set representation of the interface is emp......

A High-Accurate Fast Poisson Solver Based on Harmonic Surface Mapping Algorithm

期刊: COMMUNICATIONS IN COMPUTATIONAL PHYSICS, 2021; 30 (1)

Poisson?s equations in a cuboid are frequently solved in many scientific and engineering applications such as electric structure calculations, molecul......

A Direct Numerical Simulation (DNS) Study on the Effect of Particle Configuration on Drag

期刊: COMMUNICATIONS IN COMPUTATIONAL PHYSICS, 2021; 30 (3)

Drag correlations are very important in particle-laden two-phase flow simulations. Some statistical studies have investigated extracting particle conf......

Dissipative and Conservative Local Discontinuous Galerkin Methods for the Fornberg-Whitham Type Equations

期刊: COMMUNICATIONS IN COMPUTATIONAL PHYSICS, 2021; 30 (2)

In this paper, we construct high order energy dissipative and conservative local discontinuous Galerkin methods for the Fornberg-Whitham type equation......

Two Nonlinear Positivity-Preserving Finite Volume Schemes for Three-Dimensional Heat Conduction Equations on General Polyhedral Meshes

期刊: COMMUNICATIONS IN COMPUTATIONAL PHYSICS, 2021; 30 (4)

In this article we present two types of nonlinear positivity-preserving finite volume (PPFV) schemes for a class of three-dimensional heat conduction ......

Truncated L-1 Regularized Linear Regression: Theory and Algorithm

期刊: COMMUNICATIONS IN COMPUTATIONAL PHYSICS, 2021; 30 (1)

Truncated L-1 regularization proposed by Fan in [5], is an approximation to the L0 regularization in high-dimensional sparse models. In this work, we ......

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