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The Burns-Krantz Type Rigidity for Domains With Corners
First, we extend the Burns-Krantz rigidity for the unit disk to domains with corners. Then, we prove the Burns-Krantz type rigidity for some fibered...
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A Fully Discrete High-Order Fast Multiscale Galerkin Method for Solving Boundary Integral Equations in a Domain with Corners
In this paper, we develop a fully discrete fast multiscale Galerkin method for solving the boundary integral equation derived from the interior...
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Products of manifolds with fibered corners
Manifolds with fibered corners arise as resolutions of stratified spaces, as ‘many-body’ compactifications of vector spaces, and as compactifications...
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Corners and stable optimized domain decomposition methods for the Helmholtz problem
We construct a new Absorbing Boundary Condition (ABC) adapted to solving the Helmholtz equation in polygonal domains in dimension two....
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Complete radiation boundary conditions for the Helmholtz equation II: domains with corners
This paper continues Part I (Hagstrom and Kim in Numer Math 141(4):917–966, 2019) of the investigation on the complete radiation boundary condition...
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Schroedinger and Germain-Lagrange Equations in a Domain with Corners
This chapter is devoted to application of the combined estimates method to the study of dynamic problems that are neither hyperbolic nor parabolic....
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Sloshing, Steklov and corners: Asymptotics of sloshing eigenvalues
In the present paper we develop an approach to obtain sharp spectral asymptotics for Steklov type problems on planar domains with corners. Our main...
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Effects of corners in surface superconductivity
We study the Ginzburg–Landau functional describing an extreme type-II superconductor wire with cross section with finitely many corners at the...
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Higher-order time domain boundary elements for elastodynamics: graded meshes and hp versions
The solution to the elastodynamic equation in the exterior of a polyhedral domain or a screen exhibits singular behavior from the corners and edges....
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On vanishing near corners of conductive transmission eigenfunctions
This paper is concerned with the geometric structure of the transmission eigenvalue problem associated with a general conductive transmission...
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Numerical solution for the stress near a hole with corners in an infinite plate under biaxial loading
We consider the elastic stress near a hole with corners in an infinite plate under biaxial stress. The elasticity problem is formulated using complex...
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Surface effects in superconductors with corners
We review some recent results on the phenomenon of surface superconductivity in the framework of Ginzburg–Landau theory for extreme type-II...
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Fast and Accuracy-Preserving Domain Decomposition Methods for Reduced Fracture Models with Nonconforming Time Grids
This paper is concerned with the numerical solution of compressible fluid flow in a fractured porous medium. The fracture represents a fast pathway...
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Boundary continuity of nonlocal minimal surfaces in domains with singularities and a problem posed by Borthagaray, Li, and Nochetto
Differently from their classical counterpart, nonlocal minimal surfaces are known to present boundary discontinuities, by sticking at the boundary of...
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On vanishing and localizing around corners of electromagnetic transmission resonances
We are concerned with the geometric properties of the transmission resonance in electromagnetic scattering. The transmission eigenvalue problem is a...
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Domain Decomposition Using a Schwarz Method
Realistic modeling of physical problems often involves systems of partial differential equations (PDE), usually nonlinear, and is defined on domains...
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Multiscale Space–Time Isogeometric Analysis of Car and Tire Aerodynamics with Road Contact and Tire Deformation: Full-Domain Computation to High-Resolution Tire-Domain Computations
We are presenting a multiscale space–time (ST) isogeometric analysis framework for car and tire aerodynamics with road contact and tire deformation....
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First- and Second-Order Analysis for Optimization Problems with Manifold-Valued Constraints
We consider optimization problems with manifold-valued constraints. These generalize classical equality and inequality constraints to a setting in...
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Reconstruction of the Source Term in a Time-Fractional Diffusion Equation from Partial Domain Measurement
Time-fractional diffusion equations draw attention of many mathematicians from various fields in the recent past because of their widely known...
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