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A priori error analysis for a mixed VEM discretization of the spectral problem for the Laplacian operator
The aim of the present work is to derive error estimates for the Laplace eigenvalue problem in mixed form, implementing a virtual element method....
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Residual Type a Posteriori Error Estimates for the Time-Dependent Poisson–Nernst–Planck Equations
This paper investigates the residual type a posteriori error estimators for a fully discrete approximation to the solution of the time-dependent...
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A posteriori error estimate for the non-stationary concentration equation coupled with the Darcy system discretized by the Raviart–Thomas finite element
This article focuses on discretizing the convection–diffusion–reaction equation (concentration or heat), which is time-dependent and coupled with the...
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A Novel Error Analysis of Spectral Method for the Anomalous Subdiffusion Problems with Multi-term Time-fractional Derivative
This paper aims to extend a space-time spectral method to address the multi-term time-fractional subdiffusion equations with Caputo derivative. In...
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A Priori Error Analysis of a Stabilized Finite-Element Scheme for an Elliptic Equation with Time-Dependent Boundary Conditions
AbstractThis study aims to implement a numerical scheme in order to find the eigenvalues of the Dirichlet-to-Neumann semigroup. This can help to...
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Algorithm for subelliptic estimates
This paper describes an algorithm for obtaining subelliptic estimates on pseudoconvex complex manifolds and CR manifolds. It includes a brief account...
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Efficient a Posteriori Error Control of a Concurrent Multiscale Method with Sharp Interface for Crystalline Defects
We present an efficient a posteriori error control strategy for an energy-based concurrent multiscale method with sharp interface in molecular...
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M-Estimates: A Review and Application for Decision-Making under Uncertainty
A brief overview of the evolution of the robust estimation methods is presented, in particular, the main concepts of m-estimation methods and their...
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Respiratory particles: from analytical estimates to disease transmission
Respiratory particles containing infectious pathogens are responsible for a large number of diseases. To define health politics and save lives, it is...
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Interior estimates for the virtual element method
We analyze the local accuracy of the virtual element method. More precisely, we prove an error bound similar to the one holding for the finite...
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A High-Order Two-Grid Difference Method for Nonlinear Time-Fractional Biharmonic Problems and Its Unconditional \(\alpha \)-Robust Error Estimates
In this work, we propose and analyze a high-order map** operator between two grids to construct a high-order two-grid difference algorithm for...
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Trotter-Kato Product Formulae: Operator-Norm Topology and Error Bounds
In this chapter, we present two fundamental results about the operator-norm optimal error bound estimates for convergence rate of the Trotter-Kato...
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Parameter choice strategies for error expressions and the numerical stability of Tikhonov-regularized approximation formulae
In this paper, based on the Tikhonov regularized approximation formulae derived by An and Wu, we focus on their error estimates, the selection of the...
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Uniformly a posteriori Error Estimates for Regularizing Algorithms
AbstractA modification for the definition of an a posteriori error estimate for a regularizing algorithm for solving an ill-posed problem is...
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Discontinuous Galerkin methods for Stokes equations under power law slip boundary condition: a priori analysis
In this work, three discontinuous Galerkin (DG) methods are formulated and analysed to solve Stokes equations with power law slip boundary condition....
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Error Estimates for Optimal Control Problems Involving the Stokes System and Dirac Measures
The aim of this work is to derive a priori error estimates for finite element discretizations of control–constrained optimal control problems that...
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Unconditionally Superconvergence Error Analysis of an Energy-Stable and Linearized Galerkin Finite Element Method for Nonlinear Wave Equations
In this paper, a linearized energy-stable scalar auxiliary variable (SAV) Galerkin scheme is investigated for a two-dimensional nonlinear wave...
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Unconditional Optimal Error Estimates of Linearized, Decoupled and Conservative Galerkin FEMs for the Klein–Gordon–Schrödinger Equation
This paper is concerned with unconditionally optimal error estimates of linearized leap-frog Galerkin finite element methods (FEMs) to numerically...
