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EFFICIENT MULTISCALE ALGORITHMS FOR SIMULATING NONLOCAL OPTICAL RESPONSE OF METALLIC NANOSTRUCTURE ARRAYS

期刊: SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2021; 43 (4)

In this paper, we consider numerical simulations of the nonlocal optical response of metallic nanostructure arrays inside a dielectric host, which is ......

APPROXIMATE ERROR BOUNDS ON SOLUTIONS OF NONLINEARLY PRECONDITIONED PDEs

期刊: SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2021; 43 (4)

In many multiphysics applications, an ultimate quantity of interest can be written as a linear functional of the solution to the discretized governing......

A LEVEL-SET ADJOINT-STATE METHOD FOR TRANSMISSION TRAVELTIME TOMOGRAPHY IN IRREGULAR DOMAINS

期刊: SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2021; 43 (3)

We propose an efficient PDE based approach for solving the first-arrival traveltime tomography problem in irregular domains. We consider the mismatch ......

OVERLAPPING DOMAIN DECOMPOSITION METHODS FOR PTYCHOGRAPHIC IMAGING

期刊: SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2021; 43 (3)

In ptychography experiments, redundant scanning is usually required to guarantee the stable recovery, such that a huge number of frames are generated,......

NEWTON HARD-THRESHOLDING PURSUIT FOR SPARSE LINEAR COMPLEMENTARITY PROBLEM VIA A NEW MERIT FUNCTION

期刊: SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2021; 43 (2)

Solutions to the linear complementarity problem (LCP) are naturally sparse in many applications such as bimatrix games and portfolio section problems.......

A NEW TROUBLED-CELL INDICATOR FOR DISCONTINUOUS GALERKIN METHODS USING K-MEANS CLUSTERING

期刊: SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2021; 43 (4)

An accurate troubled-cell indicator (TCI) is always desired by the discontinuous Galerkin methods for solving nonlinear hyperbolic conservation laws. ......

STABILIZED SCALAR AUXILIARY VARIABLE ENSEMBLE ALGORITHMS FOR PARAMETERIZED FLOW PROBLEMS

期刊: SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2021; 43 (4)

Computing a flow system a number of times with different samples of flow parameters is a common practice in many uncertainty quantification applicatio......

STRUCTURE-PRESERVING, ENERGY STABLE NUMERICAL SCHEMES FOR A LIQUID THIN FILM COARSENING MODEL

期刊: SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2021; 43 (2)

In this paper, two finite difference numerical schemes are proposed and analyzed for the droplet liquid film model with a singular Lennard-Jones energ......

A TRULY EXACT PERFECT ABSORBING LAYER FOR TIME-HARMONIC ACOUSTIC WAVE SCATTERING PROBLEMS

期刊: SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2021; 43 (2)

In this paper, we design a truly exact perfect absorbing layer (PAL) for domain truncation of the two-dimensional Helmholtz equation in an unbounded d......

A VARIABLE STEPSIZE, VARIABLE ORDER FAMILY OF LOW COMPLEXITY

期刊: SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2021; 43 (3)

Variable stepsize, variable order (VSVO) methods have limited impact in timestepping methods in complex applications due to their computational comple......

A UNIFIED STRUCTURE PRESERVING SCHEME FOR A MULTISPECIES MODEL WITH A GRADIENT FLOW STRUCTURE AND NONLOCAL INTERACTIONS VIA SINGULAR KERNELS

期刊: SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2021; 43 (3)

In this paper, we consider a nonlinear and nonlocal parabolic model for multispecies ionic fluids and introduce a semi-implicit finite volume scheme, ......

AN ALL-AT-ONCE PRECONDITIONER FOR EVOLUTIONARY PARTIAL DIFFERENTIAL EQUATIONS

期刊: SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2021; 43 (4)

In [McDonald, Pestana, and Wathen, SIAM J. Sci. Comput., 40 (2018), pp. A1012-A1033], a block circulant preconditioner is proposed for all-at-once lin......

FOURIER-COSINE METHOD FOR FINITE-TIME GERBER-SHIU FUNCTIONS

期刊: SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2021; 43 (3)

In this article, we provide the first systematic numerical study on, via the popular Fourier-cosine (COS) method, finite-time Gerber-Shiu functions wi......

A DIRECT EULERIAN GRP SCHEME FOR A BLOOD FLOW MODEL IN ARTERIES

期刊: SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2021; 43 (3)

In this paper, we propose a direct Eulerian generalized Riemann problem (GRP) scheme for a blood flow model in arteries. It is an extension of the Eul......

SOLVING INVERSE STOCHASTIC PROBLEMS FROM DISCRETE PARTICLE OBSERVATIONS USING THE FOKKER-PLANCK EQUATION AND PHYSICS-INFORMED NEURAL NETWORKS

期刊: SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2021; 43 (3)

The Fokker-Planck (FP) equation governing the evolution of the probability density function (PDF) is applicable to many disciplines, but it requires s......

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