Peter Monk

Publication Activity (10 Years)

Years Active: 1992-2023
Publications (10 Years): 20

Top Topics

Finite Element Methods

Error Estimates

Light Transport

Top Venues

J. Comput. Appl. Math.

J. Comput. Phys.

SIAM J. Appl. Math.

Publications

Timo Lähivaara, William F. Hall, Matti Malinen, Dale Ota, Vijaya Shankar, Peter Monk
A High-Order Ultra-Weak Variational Formulation for Electromagnetic Waves Utilizing Curved Elements. CoRR (2023)
Gang Chen, Peter Monk, Yangwen Zhang
Superconvergent HDG methods for Maxwell's equations via the M-decomposition. J. Comput. Appl. Math. 402 (2022)
Timo Lähivaara, Peter Monk, Virginia Selgás
The Time Domain Linear Sampling Method for Determining the Shape of Multiple Scatterers Using Electromagnetic Waves. Comput. Methods Appl. Math. 22 (4) (2022)
Benjamin J. Civiletti, Akhlesh Lakhtakia, Peter Monk
Hybridization of the rigorous coupled-wave approach with transformation optics for electromagnetic scattering by a surface-relief grating. J. Comput. Appl. Math. 412 (2022)
Gang Chen, Peter Monk, Yangwen Zhang
estimates of HDG methods for Poisson equation II: 3D. CoRR (2021)
Timo Lähivaara, Peter Monk, Virginia Selgás
The Time Domain Linear Sampling Method for Determining the Shape of a Scatterer using Electromagnetic Waves. CoRR (2021)
Michael Levitin, Peter Monk, Virginia Selgás
Impedance Eigenvalues in Linear Elasticity. SIAM J. Appl. Math. 81 (6) (2021)
Fioralba Cakoni, Peter Monk, Yangwen Zhang
Target signatures for thin surfaces. CoRR (2021)
Gang Chen, Peter Monk, Yangwen Zhang
norm error estimates for HDG methods applied to the Poisson equation with an application to the Dirichlet boundary control problem. CoRR (2020)
Gang Chen, Peter Monk, Yangwen Zhang
HDG and CG methods for the Indefinite Time-Harmonic Maxwell's Equations under minimal regularity. CoRR (2020)
Benjamin J. Civiletti, Akhlesh Lakhtakia, Peter Monk
Analysis of the Rigorous Coupled Wave Approach for s-polarized light in gratings. J. Comput. Appl. Math. 368 (2020)
Tom H. Anderson, Benjamin J. Civiletti, Peter Monk, Akhlesh Lakhtakia
Coupled optoelectronic simulation and optimization of thin-film photovoltaic solar cells. J. Comput. Phys. 407 (2020)
Christopher Lackner, Shixu Meng, Peter Monk
Determination of electromagnetic Bloch variety in a medium with frequency-dependent coefficients. J. Comput. Appl. Math. 358 (2019)
Tom H. Anderson, Benjamin J. Civiletti, Peter Monk, Akhlesh Lakhtakia
Coupled Optoelectronic Simulation and Optimization of Thin-Film Photovoltaic Solar Cells. CoRR (2019)
Gang Chen, Peter Monk, Yangwen Zhang
An HDG Method for the Time-dependent Drift-Diffusion Model of Semiconductor Devices. J. Sci. Comput. 80 (1) (2019)
Peter Monk, Yangwen Zhang
Finite Element Methods for Maxwell's Equations. CoRR (2019)
Shelvean Kapita, Peter Monk
A plane wave discontinuous Galerkin method with a Dirichlet-to-Neumann boundary condition for the scattering problem in acoustics. J. Comput. Appl. Math. 327 (2018)
Jessika Camaño, Christopher Lackner, Peter Monk
Electromagnetic Stekloff Eigenvalues in Inverse Scattering. SIAM J. Math. Anal. 49 (6) (2017)
Fioralba Cakoni, David Colton, Shixu Meng, Peter Monk
Stekloff Eigenvalues in Inverse Scattering. SIAM J. Appl. Math. 76 (4) (2016)
Fioralba Cakoni, Irene de Teresa, Houssem Haddar, Peter Monk
Nondestructive Testing of the Delaminated Interface between Two Materials. SIAM J. Appl. Math. 76 (6) (2016)
Shelvean Kapita, Peter Monk, Timothy Warburton
Residual-Based Adaptivity and PWDG Methods for the Helmholtz Equation. SIAM J. Sci. Comput. 37 (3) (2015)
Jay Gopalakrishnan, Peter Monk, Paulina Sepúlveda
A tent pitching scheme motivated by Friedrichs theory. Comput. Math. Appl. 70 (5) (2015)
Li Fan, Peter Monk
Time dependent scattering from a grating. J. Comput. Phys. 302 (2015)
Fioralba Cakoni, Peter Monk, Jiguang Sun
Error Analysis for the Finite Element Approximation of Transmission Eigenvalues. Comput. Methods Appl. Math. 14 (4) (2014)
Roland Griesmaier, Peter Monk
Discretization of the Wave Equation Using Continuous Elements in Time and a Hybridizable Discontinuous Galerkin Method in Space. J. Sci. Comput. 58 (2) (2014)
Qiang Chen, Peter Monk
Discretization of the Time Domain CFIE for Acoustic Scattering Problems Using Convolution Quadrature. SIAM J. Math. Anal. 46 (5) (2014)
Teemu Luostari, Tomi Huttunen, Peter Monk
The ultra weak variational formulation of thin clamped plate problems. J. Comput. Phys. 260 (2014)
Peter Monk, Jiguang Sun
Finite Element Methods for Maxwell's Transmission Eigenvalues. SIAM J. Sci. Comput. 34 (3) (2012)
Roland Griesmaier, Peter Monk
Error Analysis for a Hybridizable Discontinuous Galerkin Method for the Helmholtz Equation. J. Sci. Comput. 49 (3) (2011)
Simon N. Chandler-Wilde, Peter Monk
Wave-Number-Explicit Bounds in Time-Harmonic Scattering. SIAM J. Math. Anal. 39 (5) (2008)
Tomi Huttunen, Matti Malinen, Peter Monk
Solving Maxwell's equations using the ultra weak variational formulation. J. Comput. Phys. 223 (2) (2007)
Mark Ainsworth, Peter Monk, Wagner Muniz
Dispersive and Dissipative Properties of Discontinuous Galerkin Finite Element Methods for the Second-Order Wave Equation. J. Sci. Comput. 27 (1-3) (2006)
Fioralba Cakoni, David Colton, Peter Monk
The Determination of the Surface Conductivity of a Partially Coated Dielectric. SIAM J. Appl. Math. 65 (3) (2005)
Simon N. Chandler-Wilde, Peter Monk
Existence, Uniqueness, and Variational Methods for Scattering by Unbounded Rough Surfaces. SIAM J. Math. Anal. 37 (2) (2005)
Peter Monk, Gerard R. Richter
A Discontinuous Galerkin Method for Linear Symmetric Hyperbolic Systems in Inhomogeneous Media. J. Sci. Comput. 22 (1) (2005)
Tomi Huttunen, Peter Monk, Francis Collino, Jari P. Kaipio
The Ultra-Weak Variational Formulation for Elastic Wave Problems. SIAM J. Sci. Comput. 25 (5) (2004)
David Colton, Houssem Haddar, Peter Monk
The Linear Sampling Method for Solving the Electromagnetic Inverse Scattering Problem. SIAM J. Sci. Comput. 24 (3) (2003)
Andreas Kirsch, Peter Monk
A finite element method for approximating electromagnetic scattering from a conducting object. Numerische Mathematik 92 (3) (2002)
G. C. Hsiao, Peter Monk, Nilima Nigam
Error Analysis of a Finite Element-Integral Equation Scheme for Approximating the Time-Harmonic Maxwell System. SIAM J. Numer. Anal. 40 (1) (2002)
Peter Monk, Leszek F. Demkowicz
. Math. Comput. 70 (234) (2001)
David Colton, Klaus Giebermann, Peter Monk
A Regularized Sampling Method for Solving Three-Dimensional Inverse Scattering Problems. SIAM J. Sci. Comput. 21 (6) (2000)
Joe Coyle, Peter Monk
Scattering of Time-Harmonic Electromagnetic Waves by Anisotropic Inhomogeneous Scatterers or Impenetrable Obstacles. SIAM J. Numer. Anal. 37 (5) (2000)
David Colton, Joe Coyle, Peter Monk
Recent Developments in Inverse Acoustic Scattering Theory. SIAM Rev. 42 (3) (2000)
David Colton, Peter Monk
A Linear Sampling Method for the Detection of Leukemia Using Microwaves II. SIAM J. Appl. Math. 60 (1) (1999)
Andreas Kirsch, Peter Monk
. SIAM J. Appl. Math. 58 (6) (1998)
Francis Collino, Peter Monk
The Perfectly Matched Layer in Curvilinear Coordinates. SIAM J. Sci. Comput. 19 (6) (1998)
David Colton, Peter Monk
A Linear Sampling Method for the Detection of Leukemia Using Microwaves. SIAM J. Appl. Math. 58 (3) (1998)
Andreas Kirsch, Peter Monk
. SIAM J. Appl. Math. 55 (5) (1995)
Peter Monk, A. Kevin Parrott
A Dispersion Analysis of Finite Element Methods for Maxwell's Equations. SIAM J. Sci. Comput. 15 (4) (1994)
David Colton, Peter Monk
On a Class of Integral Equations of the First Kind in Inverse Scattering Theory. SIAM J. Appl. Math. 53 (3) (1993)
Peter Monk
A Comparison of Three Mixed Methods for the Time-Dependent Maxwell's Equations. SIAM J. Sci. Comput. 13 (5) (1992)