Peter Monk

Orcid: 0000-0002-6539-5897

Affiliations:
  • University of Delaware, Newark, DE, USA


According to our database1, Peter Monk authored at least 55 papers between 1992 and 2023.

Collaborative distances:
  • Dijkstra number2 of four.
  • Erdős number3 of four.

Timeline

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Bibliography

2023
A High-Order Ultra-Weak Variational Formulation for Electromagnetic Waves Utilizing Curved Elements.
CoRR, 2023

2022
Hybridization of the rigorous coupled-wave approach with transformation optics for electromagnetic scattering by a surface-relief grating.
J. Comput. Appl. Math., 2022

Superconvergent HDG methods for Maxwell's equations via the M-decomposition.
J. Comput. Appl. Math., 2022

The Time Domain Linear Sampling Method for Determining the Shape of Multiple Scatterers Using Electromagnetic Waves.
Comput. Methods Appl. Math., 2022

2021
Theory of Graded-Bandgap Thin-Film Solar Cells
Synthesis Lectures on Electromagnetics, Morgan & Claypool Publishers, ISBN: 978-3-031-02024-7, 2021

L<sup>∞</sup> Norm Error Estimates for HDG Methods Applied to the Poisson Equation with an Application to the Dirichlet Boundary Control Problem.
SIAM J. Numer. Anal., 2021

Impedance Eigenvalues in Linear Elasticity.
SIAM J. Appl. Math., 2021

Analysis of the Rigorous Coupled Wave Approach for p-polarized light in gratings.
J. Comput. Appl. Math., 2021

Sharp L<sup>∞</sup> estimates of HDG methods for Poisson equation II: 3D.
CoRR, 2021

The Time Domain Linear Sampling Method for Determining the Shape of a Scatterer using Electromagnetic Waves.
CoRR, 2021

Target signatures for thin surfaces.
CoRR, 2021

2020
Modified Electromagnetic Transmission Eigenvalues in Inverse Scattering Theory.
SIAM J. Math. Anal., 2020

Corrigendum to "Coupled optoelectronic simulation and optimization of thin-film photovoltaic solar cells" [J. Comput. Phys. 407 (2020) 109242].
J. Comput. Phys., 2020

Coupled optoelectronic simulation and optimization of thin-film photovoltaic solar cells.
J. Comput. Phys., 2020

Analysis of the Rigorous Coupled Wave Approach for s-polarized light in gratings.
J. Comput. Appl. Math., 2020

HDG and CG methods for the Indefinite Time-Harmonic Maxwell's Equations under minimal regularity.
CoRR, 2020

Finite element methods for Maxwell's equations.
Proceedings of the 75 Years of Mathematics of Computation, 2020

2019
An HDG Method for the Time-dependent Drift-Diffusion Model of Semiconductor Devices.
J. Sci. Comput., 2019

Determination of electromagnetic Bloch variety in a medium with frequency-dependent coefficients.
J. Comput. Appl. Math., 2019

Finite Element Methods for Maxwell's Equations.
CoRR, 2019

2018
A plane wave discontinuous Galerkin method with a Dirichlet-to-Neumann boundary condition for the scattering problem in acoustics.
J. Comput. Appl. Math., 2018

2017
Electromagnetic Stekloff Eigenvalues in Inverse Scattering.
SIAM J. Math. Anal., 2017

2016
Nondestructive Testing of the Delaminated Interface between Two Materials.
SIAM J. Appl. Math., 2016

Stekloff Eigenvalues in Inverse Scattering.
SIAM J. Appl. Math., 2016

2015
Residual-Based Adaptivity and PWDG Methods for the Helmholtz Equation.
SIAM J. Sci. Comput., 2015

Time dependent scattering from a grating.
J. Comput. Phys., 2015

A tent pitching scheme motivated by Friedrichs theory.
Comput. Math. Appl., 2015

2014
Discretization of the Time Domain CFIE for Acoustic Scattering Problems Using Convolution Quadrature.
SIAM J. Math. Anal., 2014

Discretization of the Wave Equation Using Continuous Elements in Time and a Hybridizable Discontinuous Galerkin Method in Space.
J. Sci. Comput., 2014

The ultra weak variational formulation of thin clamped plate problems.
J. Comput. Phys., 2014

Error Analysis for the Finite Element Approximation of Transmission Eigenvalues.
Comput. Methods Appl. Math., 2014

2012
Finite Element Methods for Maxwell's Transmission Eigenvalues.
SIAM J. Sci. Comput., 2012

2011
Error Analysis for a Hybridizable Discontinuous Galerkin Method for the Helmholtz Equation.
J. Sci. Comput., 2011

2008
Wave-Number-Explicit Bounds in Time-Harmonic Scattering.
SIAM J. Math. Anal., 2008

2007
Solving Maxwell's equations using the ultra weak variational formulation.
J. Comput. Phys., 2007

2006
Dispersive and Dissipative Properties of Discontinuous Galerkin Finite Element Methods for the Second-Order Wave Equation.
J. Sci. Comput., 2006

2005
Existence, Uniqueness, and Variational Methods for Scattering by Unbounded Rough Surfaces.
SIAM J. Math. Anal., 2005

The Determination of the Surface Conductivity of a Partially Coated Dielectric.
SIAM J. Appl. Math., 2005

A Discontinuous Galerkin Method for Linear Symmetric Hyperbolic Systems in Inhomogeneous Media.
J. Sci. Comput., 2005

2004
The Ultra-Weak Variational Formulation for Elastic Wave Problems.
SIAM J. Sci. Comput., 2004

2003
The Linear Sampling Method for Solving the Electromagnetic Inverse Scattering Problem.
SIAM J. Sci. Comput., 2003

2002
Error Analysis of a Finite Element-Integral Equation Scheme for Approximating the Time-Harmonic Maxwell System.
SIAM J. Numer. Anal., 2002

A finite element method for approximating electromagnetic scattering from a conducting object.
Numerische Mathematik, 2002

2001
Discrete compactness and the approximation of Maxwell's equations in R<sup>3</sup>.
Math. Comput., 2001

2000
A Regularized Sampling Method for Solving Three-Dimensional Inverse Scattering Problems.
SIAM J. Sci. Comput., 2000

Recent Developments in Inverse Acoustic Scattering Theory.
SIAM Rev., 2000

Scattering of Time-Harmonic Electromagnetic Waves by Anisotropic Inhomogeneous Scatterers or Impenetrable Obstacles.
SIAM J. Numer. Anal., 2000

1999
A Linear Sampling Method for the Detection of Leukemia Using Microwaves II.
SIAM J. Appl. Math., 1999

1998
The Perfectly Matched Layer in Curvilinear Coordinates.
SIAM J. Sci. Comput., 1998

Corrigendum: A Finite Element/Spectral Method for Approximating the Time-Harmonic Maxwell System in ℝ<sup>3</sup>.
SIAM J. Appl. Math., 1998

A Linear Sampling Method for the Detection of Leukemia Using Microwaves.
SIAM J. Appl. Math., 1998

1995
A Finite Element/Spectral Method for Approximating the Time-Harmonic Maxwell System in ℝ<sup>3</sup>.
SIAM J. Appl. Math., 1995

1994
A Dispersion Analysis of Finite Element Methods for Maxwell's Equations.
SIAM J. Sci. Comput., 1994

1993
On a Class of Integral Equations of the First Kind in Inverse Scattering Theory.
SIAM J. Appl. Math., 1993

1992
A Comparison of Three Mixed Methods for the Time-Dependent Maxwell's Equations.
SIAM J. Sci. Comput., 1992


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