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Optimal A Priori Error Estimates for Elliptic Interface Problems: Weak Galerkin Mixed Finite Element Approximations
We consider weak Galerkin mixed finite element approximations of second order elliptic equations on domains that can be described as a union of...
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A priori error estimates of a discontinuous Galerkin method for the Navier-Stokes equations
This-36pt paper considers a discontinuous Galerkin finite element method for the 2 D transient and incompressible Navier-Stokes model. Following the...
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A Priori Error Bounds for Parabolic Interface Problems with Measure Data
AbstractThis article studies a priori error analysis for linear parabolic interface problems with measure data in time in a bounded convex polygonal...
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A Priori and a Posteriori Error Analysis of TDNNS Method for Linear Elasticity Problem Under Minimal Regularity
In this paper, a priori and a posteriori error estimates of the tangential-displacement normal-normal-stress (TDNNS) method for linear elasticity...
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The a Priori and a Posteriori Error Estimates of DG Method for the Steklov Eigenvalue Problem in Inverse Scattering
In this paper, we study the discontinuous Galerkin finite element method for the Steklov eigenvalue problem arising in inverse scattering. We present...
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Error Estimates of hp Spectral Element Methods in Nonlinear Optimal Control Problem
The main purpose of this paper is to discuss hp spectral element method for optimal control problem governed by a nonlinear elliptic equation with
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A priori and a posteriori error estimation for singularly perturbed delay integro-differential equations
This article deals with the numerical analysis of a class of singularly perturbed delay Volterra integro-differential equations exhibiting multiple...
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A Priori Error Estimate of Deep Mixed Residual Method for Elliptic PDEs
In this work, we derive a priori error estimate of the deep mixed residual method (DMRM) when solving some elliptic partial differential equations...
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Higher-order error estimates for physics-informed neural networks approximating the primitive equations
Large-scale dynamics of the oceans and the atmosphere are governed by primitive equations (PEs). Due to the nonlinearity and nonlocality, the...
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A posteriori error estimates for wave maps into spheres
We provide a posteriori error estimates in the energy norm for temporal semi-discretisations of wave maps into spheres that are based on the angular...
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Error estimates for mixed and hybrid FEM for elliptic optimal control problems with penalizations
Mixed and hybrid finite element discretizations for distributed optimal control problems governed by an elliptic equation are analyzed. A cost...
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A Priori Error Analysis and Finite Element Approximations for a Coupled Model Under Nonlinear Slip Boundary Conditions
We consider the time-dependent Navier–Stokes system coupled with the heat equation governed by the nonlinear Tresca boundary conditions. We propose a...
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Error Estimates for Fractional Semilinear Optimal Control on Lipschitz Polytopes
We adopt the integral definition of the fractional Laplace operator and analyze solution techniques for fractional, semilinear, and elliptic optimal...
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Optimal error estimates of an IPDG scheme for the resistive magnetic induction equation
In this paper, we develop the framework for error analysis of a fully-discrete interior penalty discontinuous Galerkin (IPDG) scheme designed for the...
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A New A Posteriori Error Estimates for Optimal Control Problems Governed by Parabolic Integro-Differential Equations
AbstractIn this paper, we provide a new a posteriori error analysis for linear finite element approximation of a parabolic integro-differential...
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Pointwise Error Estimates of Numerical Solutions to Linear Quadratic Optimal Control Problems
An auxiliary optimal control problem is formulated that provides with its unique solution, a continuous representation of the global error of a...
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A priori error estimates of discontinuous Galerkin methods for a quasi-variational inequality
We study a priori error estimates of discontinuous Galerkin (DG) methods for solving a quasi-variational inequality, which models a frictional...
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A priori and a posteriori error analysis for virtual element discretization of elliptic optimal control problem
In this paper, a virtual element method (VEM) discretization of elliptic optimal control problem with pointwise control constraint is investigated....
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Ritz-type projectors with boundary interpolation properties and explicit spline error estimates
In this paper we construct Ritz-type projectors with boundary interpolation properties in finite dimensional subspaces of the usual Sobolev space and...
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Error Estimates of Finite Element Method for the Incompressible Ferrohydrodynamics Equations
In this paper, we consider the Shliomis ferrofluid model and study its numerical approximation. We investigate a first-order energy-stable fully...
