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Numerical Reconstruction of a Discontinuous Diffusive Coefficient in Variable-Order Time-Fractional Subdiffusion
We consider a discontinuous coefficient reconstruction problem associated with a variable-order time-fractional subdiffusion equation. Both interface...
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Hybridizable discontinuous Galerkin reduced order model for the variable coefficient advection equation
In this paper, a hybridizable discontinuous Galerkin (HDG) model order reduction technique is proposed to solve the variable coefficient advection...
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Compact Approximation of a Two-Dimensional Boundary Value Problem for Elliptic Equations of the Second Order with a Discontinuous Coefficient
AbstractFor an elliptic equation of the second order with variable discontinuous coefficients and the right side, a scheme of the fourth order of...
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NIPG Method on Shishkin Mesh for Singularly Perturbed Convection-Diffusion Problem with Discontinuous Convection Coefficient
In this paper, we investigate the convergence of discontinuous Galerkin finite element method (DGFEM) for singularly perturbed convection-diffusion...
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An interior penalty discontinuous Galerkin reduced order model for the variable coefficient advection–diffusion-reaction equation
In this paper, we construct a reduced order model (ROM) to solve the advection–diffusion-reaction (ADR) equation with variable coefficients. In order...
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Distributions of Functionals of the Local Time of Brownian Motion with Discontinuous Drift
Diffusion with piecewise constant drift and diffusion coefficient 1 is considered. Such a process is called the Brownian motion with discontinuous...
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Geometric stress functions, continuous and discontinuous
In his work on stress functions Maxwell noted that given a planar truss the internal force distribution may be described by a piecewise linear,
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Physics enhanced sparse identification of dynamical systems with discontinuous nonlinearities
A method is introduced for the identification of the nonlinear governing equations of dynamical systems in the presence of discontinuous and...
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Approximation to the Sturm–Liouville Problem with a Discontinuous Nonlinearity
AbstractWe consider a continuous approximation to the Sturm–Liouville problem with a nonlinearity discontinuous in the phase variable. The...
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Distributions of Functionals of a Skew Brownian motion with Discontinuous Drift
A skew Brownian motion with piecewise constant drift is considered. This diffusion includes a skew Brownian motion with linear drift with equal...
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Robust Flux Reconstruction and a Posteriori Error Analysis for an Elliptic Problem with Discontinuous Coefficients
In this paper, we locally construct a conservative flux for finite element solutions of elliptic interface problems with discontinuous coefficients....
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Improvements of cohesive zone model on artificial compliance and discontinuous force
The cohesive zone model (CZM) has been used widely and successfully in fracture propagation, but some basic problems are still to be solved. In this...
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Numerical treatment of reactive diffusion using the discontinuous Galerkin method
This work presents a new finite element variational formulation for the numerical treatment of diffusional phase transformations using the...
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Discontinuous Galerkin Methods for Network Patterning Phase-Field Models
In this paper, we propose a class of discontinuous Galerkin methods under the scalar auxiliary variable framework (SAV-DG) to solve a biological...
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CFD Investigation of Solar Air Heater Roughened with Transverse Discontinuous Trapezoidal Ribs
A three-dimensional Computational Fluid Dynamics (CFD) analysis was conducted to examine the thermal and hydraulic characteristics of a solar air...
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A Generalized Framework for Direct Discontinuous Galerkin Methods for Nonlinear Diffusion Equations
In this study, we propose a unified, general framework for the direct discontinuous Galerkin methods. In the new framework, the antiderivative of the...
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Influence of homogeneous discontinuous medium on the propagation law of explosion shock wave pressure
The change of the propagation medium continuity on the explosion site surface will directly lead to the shock wave pressure propagation and...
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A Local Discontinuous Galerkin Method for Time-Fractional Diffusion Equations
In this paper, a local discontinuous Galerkin (LDG) scheme for the time-fractional diffusion equation is proposed and analyzed. The Caputo...
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Solving Nonlinear Volterra Integral Equations of the First Kind with Discontinuous Kernels by Using the Operational Matrix Method
AbstractA numerical method to solve the nonlinear Volterra integral equations of the first kind with discontinuous kernels is proposed. Usage of...
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