Edit Profile (opens in new tab) Monk, Peter B. Co-Author Distance Author ID: monk.peter-b Published as: Monk, Peter; Monk, P.; Monk, P. B.; Monk, Peter B. more...less Documents Indexed: 181 Publications since 1985, including 2 Books and 3 Additional arXiv Preprints 4 Contributions as Editor · 1 Further Contribution Biographic References: 3 Publications Co-Authors: 97 Co-Authors with 170 Joint Publications 2,639 Co-Co-Authors all top 5 Co-Authors 15 single-authored 47 Colton, David Lem 18 Cakoni, Fioralba 13 Selgas, Virginia 11 Huttunen, Tomi 9 Zhang, Yangwen 8 Sun, Jiguang 6 Kirsch, Andreas 6 Luostari, Teemu 5 Chen, Gang 5 Chen, Qiang 5 Civiletti, Benjamin J. 5 Collino, Francis 5 Haddar, Houssem 5 Kaipio, Jari P. 5 Lakhtakia, Akhlesh 4 Chandler-Wilde, Simon N. 4 Cogar, Samuel 4 Othmer, Hans G. 3 Cohen, Gary C. 3 Coyle, Joe 3 Demkowicz, Leszek 3 Kapita, Shelvean 3 Kress, Rainer 3 Lähivaara, Timo 3 Meng, Shixu 3 Parrott, A. K. 2 Anderson, Tom H. 2 Brenner, Susanne Cecelia 2 Carstensen, Carsten 2 Darrigrand, Eric 2 de Teresa, Irene 2 Falk, Richard S. 2 Fan, Li 2 Giebermann, Klaus 2 Griesmaier, Roland 2 Guo, Yukun 2 Lackner, Christopher 2 Lechleiter, Armin 2 Malinen, Matti 2 Rapp, Paul E. 2 Rodríguez, Rodolfo 2 Süli, Endre E. 2 Vacus, Olivier 2 Vardapetyan, L. G. 2 Wang, Xiaobo 2 Weile, Daniel S. 2 Yang, Fan 1 Ainsworth, Mark 1 Aziz, A. Kadir 1 Bacuta, Constantin 1 Bermúdez, Alfredo 1 Buffa, Annalisa 1 Camaño, Jessika 1 Chan, John Fun-Choi 1 Dauge, Monique 1 Funken, Stefan A. 1 Gatto, Paolo 1 Gopalakrishnan, Jay 1 Hackbusch, Wolfgang 1 Hall, William F. 1 Halla, Martin 1 Hiptmair, Ralf 1 Hoppe, Ronald H. W. 1 Hsiao, George Chia-Chu 1 Imbert-Gérard, Lise-Marie 1 Jennings, Nicholas R. 1 Langer, Ulrich 1 Le Hyaric, Antoine 1 Lee, Heejin 1 Levitin, Michael R. 1 Li, Jielin 1 Makridakis, Charalambos G. 1 Melenk, Jens Markus 1 Muniz, Wagner Barbosa 1 Nigam, Nilima 1 Ota, Dale 1 Parrott, Kevin 1 Pauly, Dirk 1 Pena, Manuel 1 Perugia, Ilaria 1 Rachowicz, Waldemar 1 Richter, Gerard R. 1 Rivas, Cinthya 1 Santosa, Fadil N. 1 Schötzau, Dominik 1 Schwab, Christoph 1 Sepulveda, Paulina 1 Shankar, Vijaya 1 Solano, Manuel E. 1 Thomas, Martin 1 Valli, Alberto 1 Wang, Daqing 1 Wang, Lei 1 Warburton, Timothy 1 Weile, D. 1 Wesson, P. J. 1 Wieners, Christian 1 Wildman, Raymond A. 1 Zhang, Shangyou 1 Zinn, Axel all top 5 Serials 24 Inverse Problems 16 Journal of Computational and Applied Mathematics 10 SIAM Journal on Numerical Analysis 10 SIAM Journal on Applied Mathematics 7 Journal of Computational Physics 7 SIAM Journal on Scientific Computing 6 Journal of Scientific Computing 5 Computer Methods in Applied Mechanics and Engineering 5 SIAM Journal on Mathematical Analysis 5 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 5 Inverse Problems and Imaging 4 Mathematics of Computation 4 Applied Numerical Mathematics 3 Applicable Analysis 3 Computers & Mathematics with Applications 3 IMA Journal of Numerical Analysis 3 International Journal for Numerical Methods in Engineering 3 Numerical Methods for Partial Differential Equations 3 Oberwolfach Reports 2 IMA Journal of Applied Mathematics 2 Mathematical Biosciences 2 Mathematical Methods in the Applied Sciences 2 Quarterly Journal of Mechanics and Applied Mathematics 2 Numerische Mathematik 2 SIAM Journal on Scientific and Statistical Computing 2 Computational Methods in Applied Mathematics 2 Communications in Computational Physics 1 Journal of Mathematical Biology 1 BIT 1 RAIRO. Modélisation Mathématique et Analyse Numérique 1 COMPEL 1 Journal of Integral Equations and Applications 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 SIAM Review 1 Methods and Applications of Analysis 1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 1 The ANZIAM Journal 1 IEEE Transactions on Antennas and Propagation 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 CBMS-NSF Regional Conference Series in Applied Mathematics 1 Lecture Notes in Mathematics 1 Lecture Notes in Computational Science and Engineering 1 Analysis & PDE 1 Research in the Mathematical Sciences 1 Numerical Mathematics and Scientific Computation all top 5 Fields 132 Partial differential equations (35-XX) 110 Numerical analysis (65-XX) 97 Optics, electromagnetic theory (78-XX) 26 Fluid mechanics (76-XX) 14 Mechanics of deformable solids (74-XX) 10 Biology and other natural sciences (92-XX) 4 General and overarching topics; collections (00-XX) 4 Integral equations (45-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Operator theory (47-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Potential theory (31-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Relativity and gravitational theory (83-XX) 2 Geophysics (86-XX) 1 Functions of a complex variable (30-XX) 1 Special functions (33-XX) 1 Integral transforms, operational calculus (44-XX) 1 Statistics (62-XX) 1 Astronomy and astrophysics (85-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 161 Publications have been cited 4,754 times in 3,018 Documents Cited by ▼ Year ▼ Finite element methods for Maxwell’s equations. Zbl 1024.78009 Monk, Peter 1,132 2003 The perfectly matched layer in curvilinear coordinates. Zbl 0940.78011 Collino, Francis; Monk, Peter 141 1998 A least-squares method for the Helmholtz equation. Zbl 0943.65127 Monk, P.; Wang, Da-Qing 115 1999 Recent developments in inverse acoustic scattering theory. Zbl 0960.76081 Colton, David; Coyle, Joe; Monk, Peter 97 2000 The linear sampling method in inverse electromagnetic scattering. Zbl 1221.78001 Cakoni, Fioralba; Colton, David; Monk, Peter 92 2011 Dispersive and dissipative properties of discontinuous Galerkin finite element methods for the second-order wave equation. Zbl 1102.76032 Ainsworth, M.; Monk, P.; Muniz, W. 91 2006 Analytical and computational methods for transmission eigenvalues. Zbl 1192.78024 Colton, David; Monk, Peter; Sun, Jiguang 85 2010 The inverse scattering problem for time-harmonic acoustic waves in an inhomogeneous medium. Zbl 0637.73026 Colton, David; Monk, Peter 79 1988 Continuous finite elements in space and time for the heat equation. Zbl 0673.65070 Aziz, A. K.; Monk, Peter 71 1989 The inverse electromagnetic scattering problem for anisotropic media. Zbl 1197.35314 Cakoni, Fioralba; Colton, David; Monk, Peter; Sun, Jiguang 68 2010 de Rham diagram for \(hp\) finite element spaces. Zbl 0955.65084 Demkowicz, L.; Monk, P.; Vardapetyan, L.; Rachowicz, W. 68 2000 Finite element methods for Maxwell’s transmission eigenvalues. Zbl 1246.78020 Monk, Peter; Sun, Jiguang 66 2012 A convergence analysis of Yee’s scheme on nonuniform grids. Zbl 0805.65121 Monk, Peter; Süli, Endre 65 1994 Computational aspects of the ultra-weak variational formulation. Zbl 1015.65064 Huttunen, Tomi; Monk, Peter; Kaipio, Jari P. 64 2002 Existence, uniqueness, and variational methods for scattering by unbounded rough surfaces. Zbl 1127.35030 Chandler-Wilde, Simon N.; Monk, Peter 64 2005 Analysis of a finite element method for Maxwell’s equations. Zbl 0761.65097 Monk, Peter 63 1992 A discontinuous Galerkin method for linear symmetric hyperbolic systems in inhomogeneous media. Zbl 1082.65099 Monk, Peter; Richter, Gerard R. 63 2005 The inverse source problem for Maxwell’s equations. Zbl 1099.35161 Albanese, R.; Monk, P. B. 62 2006 Optimizing the perfectly matched layer. Zbl 1040.78524 Collino, F.; Monk, P. B. 62 1998 A finite element method for approximating the time-harmonic Maxwell equations. Zbl 0757.65126 Monk, Peter 61 1992 Stabilized interior penalty methods for the time-harmonic Maxwell equations. Zbl 1040.78011 Perugia, I.; Schötzau, D.; Monk, P. 60 2002 Wave-number-explicit bounds in time-harmonic scattering. Zbl 1154.35022 Chandler-Wilde, Simon N.; Monk, Peter 58 2008 Stekloff eigenvalues in inverse scattering. Zbl 1346.35228 Cakoni, F.; Colton, D.; Meng, S.; Monk, P. 56 2016 A mixed finite element method for the biharmonic equation. Zbl 0632.65112 Monk, Peter 54 1987 Error analysis for a hybridizable discontinuous Galerkin method for the Helmholtz equation. Zbl 1246.65211 Griesmaier, Roland; Monk, Peter 50 2011 A mixed method for approximating Maxwell’s equations. Zbl 0742.65091 Monk, Peter B. 50 1991 Error estimates for the ultra weak variational formulation of the Helmholtz equation. Zbl 1155.65094 Buffa, Annalisa; Monk, Peter 50 2008 On the use of transmission eigenvalues to estimate the index of refraction from far field data. Zbl 1115.78008 Cakoni, Fioralba; Colton, David; Monk, Peter 49 2007 Error analysis for the finite element approximation of transmission eigenvalues. Zbl 1304.65239 Cakoni, Fioralba; Monk, Peter; Sun, Jiguang 44 2014 Solving Maxwell’s equations using the ultra weak variational formulation. Zbl 1117.78011 Huttunen, T.; Malinen, M.; Monk, P. 43 2007 A posteriori error indicators for Maxwell’s equations. Zbl 1023.78004 Monk, Peter 43 1998 The ultra-weak variational formulation for elastic wave problems. Zbl 1093.74028 Huttunen, T.; Monk, P.; Collino, F.; Kaipio, J. P. 40 2004 \(C^0\) Interior penalty Galerkin method for biharmonic eigenvalue problems. Zbl 1349.65439 Brenner, Susanne C.; Monk, Peter; Sun, Jiguang 38 2015 An analysis of Nédélec’s method for the spatial discretization of Maxwell’s equations. Zbl 0784.65091 Monk, Peter 38 1993 The direct and inverse scattering problems for partially coated obstacles. Zbl 1001.35122 Cakoni, Fioralba; Colton, David; Monk, Peter 38 2001 Discrete compactness and the approximation of Maxwell’s equations in \(\mathbb{R} ^3\). Zbl 1035.65131 Monk, P.; Demkowicz, L. 37 2001 Superconvergence of finite element approximations to Maxwell’s equations. Zbl 0809.65124 Monk, Peter 35 1994 A novel method for solving the inverse scattering problem for time- harmonic acoustic waves in the resonance region. Zbl 0588.76140 Colton, David; Monk, Peter 33 1985 A novel method for solving the inverse scattering problem for time- harmonic acoustic waves in the resonance region. II. Zbl 0641.76073 Colton, David; Monk, Peter 32 1986 Hexahedral \(\mathbf H(\operatorname{div})\) and \(\mathbf H(\operatorname{curl})\) finite elements. Zbl 1270.65066 Falk, Richard S.; Gatto, Paolo; Monk, Peter 32 2011 A sampling method for inverse scattering in the time domain. Zbl 1197.35315 Chen, Q.; Haddar, H.; Lechleiter, A.; Monk, P. 31 2010 The adaptive computation of far-field patterns by a posteriori error estimation of linear functionals. Zbl 0932.65115 Monk, Peter; Süli, Endre 31 1998 Time-discrete finite element schemes for Maxwell’s equations. Zbl 0834.65120 Makridakis, Ch. G.; Monk, P. 30 1995 The linear sampling method for solving the electromagnetic inverse scattering problem. Zbl 1037.78008 Colton, David; Haddar, Houssem; Monk, Peter 30 2002 Modified transmission eigenvalues in inverse scattering theory. Zbl 1394.35305 Cogar, S.; Colton, D.; Meng, S.; Monk, P. 30 2017 The electromagnetic inverse-scattering problem for partly coated Lipschitz domains. Zbl 1071.78021 Cakoni, Fioralba; Colton, David; Monk, Peter 28 2004 An analysis of the coupling of finite-element and Nyström methods in acoustic scattering. Zbl 0816.65104 Kirsch, A.; Monk, P. 28 1994 A comparison of three mixed methods for the time-dependent Maxwell’s equations. Zbl 0762.65081 Monk, Peter 27 1992 Improvements for the ultra weak variational formulation. Zbl 1352.65528 Luostari, T.; Huttunen, T.; Monk, P. 25 2013 Logarithmic convexity for discrete harmonic functions and the approximation of the Cauchy problem for Poisson’s equation. Zbl 0623.65095 Falk, R. S.; Monk, P. B. 25 1986 Toward a time domain approach to the linear sampling method. Zbl 1291.65293 Guo, Y.; Monk, P.; Colton, D. 25 2013 A finite element/spectral method for approximating the time-harmonic Maxwell system in \(\mathbb{R}^ 3\). Zbl 0840.65128 Kirsch, Andreas; Monk, Peter 25 1995 The linear sampling method for solving the electromagnetic inverse medium problem. Zbl 1006.35102 Haddar, Houssem; Monk, Peter 24 2002 A regularized sampling method for solving three-dimensional inverse scattering problems. Zbl 0961.35172 Colton, David; Giebermann, Klaus; Monk, Peter 24 2000 Electromagnetic Stekloff eigenvalues in inverse scattering. Zbl 1375.35628 Camaño, Jessika; Lackner, Christopher; Monk, Peter 23 2017 The numerical solution of the three-dimensional inverse scattering problem for time harmonic acoustic waves. Zbl 0623.65130 Colton, David; Monk, Peter 22 1987 Gauss point mass lumping schemes for Maxwell’s equations. Zbl 0891.65130 Cohen, Gary; Monk, Peter 22 1998 A dispersion analysis of finite element methods for Maxwell’s equations. Zbl 0804.65122 Monk, P. B.; Parrott, A. K. 21 1994 The determination of the surface conductivity of a partially coated dielectric. Zbl 1083.78007 Cakoni, Fioralba; Colton, David; Monk, Peter 21 2005 Discretization of the wave equation using continuous elements in time and a hybridizable discontinuous Galerkin method in space. Zbl 1296.65132 Griesmaier, Roland; Monk, Peter 20 2014 An ultra-weak method for acoustic fluid-solid interaction. Zbl 1182.76949 Huttunen, T.; Kaipio, J. P.; Monk, P. 20 2008 Two methods for solving the inverse acoustic scattering problem. Zbl 0698.65076 Kirsch, Andreas; Kress, Rainer; Monk, P.; Zinn, Axel 20 1988 A finite difference delay modeling approach to the discretization of the time domain integral equations of electromagnetics. Zbl 1369.78846 Wang, Xiaobo; Wildman, Raymond A.; Weile, Daniel S.; Monk, Peter 20 2008 The perfectly matched layer for the ultra weak variational formulation of the 3D Helmholtz equation. Zbl 1075.76648 Huttunen, Tomi; Kaipio, Jari P.; Monk, Peter 19 2004 Sampling type methods for an inverse waveguide problem. Zbl 1263.74023 Monk, Peter; Selgas, Virginia 19 2012 An inverse fluid–solid interaction problem. Zbl 1183.65138 Monk, Peter; Selgas, Virginia 18 2009 Discretization of the time domain CFIE for acoustic scattering problems using convolution quadrature. Zbl 1344.65090 Chen, Qiang; Monk, Peter 18 2014 Maxwell eigenvalues and discrete compactness in two dimensions. Zbl 0998.78011 Demkowicz, L.; Monk, P.; Schwab, Ch.; Vardapetyan, L. 18 2000 Inverse scattering from an orthotropic medium. Zbl 0885.35143 Colton, David; Kress, Rainer; Monk, Peter 18 1997 The mathematics of scattering by unbounded, rough, inhomogeneous layers. Zbl 1118.78007 Chandler-Wilde, Simon N.; Monk, Peter; Thomas, Martin 17 2007 On the \(p\)- and \(hp\)-extension of Nédélec’s curl-conforming elements. Zbl 0820.65066 Monk, Peter 17 1994 Analysis of convolution quadrature applied to the time-domain electric field integral equation. Zbl 1373.78069 Chen, Q.; Monk, P.; Wang, X.; Weile, D. 17 2012 A simple proof of convergence for an edge element discretization of Maxwell’s equations. Zbl 1031.65122 Monk, Peter 16 2003 The linear sampling method for sparse small aperture data. Zbl 1351.65070 Guo, Y.; Monk, P.; Colton, D. 15 2016 The inverse scattering problem for time-harmonic acoustic waves in a penetrable medium. Zbl 0619.35110 Colton, David; Monk, Peter 15 1987 Mur-Nédélec finite element schemes for Maxwell’s equations. Zbl 0956.78008 Cohen, Gary; Monk, Peter 15 1999 Error estimates for a numerical scheme for ferromagnetic problems. Zbl 0924.65113 Monk, P. B.; Vacus, O. 15 1998 Modified electromagnetic transmission eigenvalues in inverse scattering theory. Zbl 1455.35070 Cogar, Samuel; Monk, Peter B. 15 2020 An inverse acoustic waveguide problem in the time domain. Zbl 1397.76123 Monk, Peter; Selgas, Virginia 14 2016 Near field sampling type methods for the inverse fluid-solid interaction problem. Zbl 1408.74026 Monk, Peter; Selgas, Virginia 14 2011 Optimizing the perfectly matched layer. Zbl 0964.78018 Monk, P.; Collino, F. 14 1998 Multilevel discretization of symmetric saddle point systems without the discrete LBB condition. Zbl 1237.65121 Bacuta, Constantin; Monk, Peter 13 2012 Accurate discretization of a nonlinear micromagnetic problem. Zbl 0991.78004 Monk, P. B.; Vacus, O. 13 2001 A tent pitching scheme motivated by Friedrichs theory. Zbl 1443.65172 Gopalakrishnan, Jay; Monk, Peter; Sepúlveda, Paulina 13 2015 The PML for rough surface scattering. Zbl 1419.78007 Chandler-Wilde, Simon N.; Monk, Peter 12 2009 Residual-based adaptivity and PWDG methods for the Helmholtz equation. Zbl 1433.65300 Kapita, Shelvean; Monk, Peter; Warburton, Timothy 12 2015 Numerical simulation of wave propagation in inhomogeneous media using generalized plane waves. Zbl 1378.65179 Imbert-Gérard, Lise-Marie; Monk, Peter 12 2017 Convergence analysis of a coupled finite element and spectral method in acoustic scattering. Zbl 0712.65095 Kirsch, A.; Monk, P. 12 1990 The ultra weak variational formulation using Bessel basis functions. Zbl 1373.35100 Luostari, Teemu; Huttunen, Tomi; Monk, Peter 12 2012 Nondestructive testing of the delaminated interface between two materials. Zbl 1362.35328 Cakoni, Fioralba; de Teresa, Irene; Haddar, Houssem; Monk, Peter 11 2016 Using eigenvalues to detect anomalies in the exterior of a cavity. Zbl 1400.78015 Cogar, S.; Colton, D.; Monk, P. 11 2018 Scattering of time-harmonic electromagnetic waves by anisotropic inhomogeneous scatterers or impenetrable obstacles. Zbl 0979.78015 Coyle, Joe; Monk, Peter 11 2000 Eigenvalue problems in inverse electromagnetic scattering theory. Zbl 1445.78004 Cogar, Samuel; Colton, David; Monk, Peter 11 2019 A linear sampling method for the detection of leukemia using microwaves. Zbl 0907.92014 Colton, David; Monk, Peter 10 1998 Error estimates for the ultra weak variational formulation in linear elasticity. Zbl 1457.74025 Luostari, Teemu; Huttunen, Tomi; Monk, Peter 10 2013 Analysis of the linear sampling method for imaging penetrable obstacles in the time domain. Zbl 1467.35343 Cakoni, Fioralba; Monk, Peter; Selgas, Virginia 9 2021 Inverse scattering using finite elements and gap reciprocity. Zbl 1194.35508 Monk, Peter; Sun, Jiguang 8 2007 A new method for solving the inverse scattering problem for acoustic waves in an inhomogeneous medium. Zbl 0715.35081 Colton, David; Monk, Peter 8 1989 Computational electromagnetics. Proceedings of the GAMM workshop on computational electromagnetics, Kiel, Germany, January 26–28, 2001. Zbl 1007.78001 7 2003 The determination of boundary coefficients from far field measurements. Zbl 1204.78013 Cakoni, Fioralba; Colton, David; Monk, Peter 7 2010 Modified transmission eigenvalues for inverse scattering in a fluid-solid interaction problem. Zbl 1481.35403 Monk, Peter; Selgas, Virginia 4 2022 An HDG method for the Steklov eigenvalue problem. Zbl 1523.65088 Monk, Peter; Zhang, Yangwen 3 2022 Target signatures for thin surfaces. Zbl 1483.35141 Cakoni, Fioralba; Monk, Peter; Zhang, Yangwen 2 2022 A spectral target signature for thin surfaces with higher order jump conditions. Zbl 1512.35568 Cakoni, Fioralba; Lee, Heejin; Monk, Peter; Zhang, Yangwen 2 2022 Superconvergent HDG methods for Maxwell’s equations via the \(M\)-decomposition. Zbl 1477.65202 Chen, Gang; Monk, Peter; Zhang, Yangwen 1 2022 The time domain linear sampling method for determining the shape of multiple scatterers using electromagnetic waves. Zbl 1497.65151 Lähivaara, Timo; Monk, Peter; Selgas, Virginia 1 2022 Analysis of the linear sampling method for imaging penetrable obstacles in the time domain. Zbl 1467.35343 Cakoni, Fioralba; Monk, Peter; Selgas, Virginia 9 2021 \(L^\infty\) norm error estimates for HDG methods applied to the Poisson equation with an application to the Dirichlet boundary control problem. Zbl 1472.65142 Chen, Gang; Monk, Peter B.; Zhang, Yangwen 4 2021 Impedance eigenvalues in linear elasticity. Zbl 1480.35406 Levitin, Michael; Monk, Peter; Selgas, Virginia 2 2021 An asymptotic model based on matching far and near field expansions for thin gratings problems. Zbl 1477.65235 Monk, Peter B.; Rivas, Cinthya; Rodríguez, Rodolfo; Solano, Manuel E. 1 2021 Analysis of the rigorous coupled wave approach for \(p\)-polarized light in gratings. Zbl 1470.78002 Civiletti, Benjamin J.; Lakhtakia, Akhlesh; Monk, Peter B. 1 2021 Modified electromagnetic transmission eigenvalues in inverse scattering theory. Zbl 1455.35070 Cogar, Samuel; Monk, Peter B. 15 2020 Analysis of the rigorous coupled wave approach for \(s\)-polarized light in gratings. Zbl 1433.78021 Civiletti, Benjamin J.; Lakhtakia, Akhlesh; Monk, Peter B. 3 2020 Coupled optoelectronic simulation and optimization of thin-film photovoltaic solar cells. Zbl 07504712 Anderson, Tom H.; Civiletti, Benjamin J.; Monk, Peter B.; Lakhtakia, Akhlesh 2 2020 Corrigendum to: “Coupled optoelectronic simulation and optimization of thin-film photovoltaic solar cells”. Zbl 07506158 Anderson, Tom H.; Civiletti, Benjamin J.; Monk, Peter B.; Lakhtakia, Akhlesh 1 2020 Eigenvalue problems in inverse electromagnetic scattering theory. Zbl 1445.78004 Cogar, Samuel; Colton, David; Monk, Peter 11 2019 A Bayesian approach to improving the Born approximation for inverse scattering with high-contrast materials. Zbl 1444.35164 Kaipio, J. P.; Huttunen, T.; Luostari, T.; Lähivaara, T.; Monk, P. B. 7 2019 Near-field linear sampling method for an inverse problem in an electromagnetic waveguide. Zbl 1461.35240 Monk, Peter; Selgas, Virginia; Yang, Fan 4 2019 An HDG method for the time-dependent drift-diffusion model of semiconductor devices. Zbl 1418.65123 Chen, Gang; Monk, Peter; Zhang, Yangwen 4 2019 Determination of electromagnetic Bloch variety in a medium with frequency-dependent coefficients. Zbl 1428.78030 Lackner, C.; Meng, S.; Monk, P. 2 2019 Using eigenvalues to detect anomalies in the exterior of a cavity. Zbl 1400.78015 Cogar, S.; Colton, D.; Monk, P. 11 2018 A plane wave discontinuous Galerkin method with a Dirichlet-to-Neumann boundary condition for the scattering problem in acoustics. Zbl 1372.65309 Kapita, Shelvean; Monk, Peter 6 2018 Nondestructive testing of delaminated interfaces between two materials using electromagnetic interrogation. Zbl 1395.78048 Cakoni, Fioralba; de Teresa, Irene; Monk, Peter 4 2018 Modified transmission eigenvalues in inverse scattering theory. Zbl 1394.35305 Cogar, S.; Colton, D.; Meng, S.; Monk, P. 30 2017 Electromagnetic Stekloff eigenvalues in inverse scattering. Zbl 1375.35628 Camaño, Jessika; Lackner, Christopher; Monk, Peter 23 2017 Numerical simulation of wave propagation in inhomogeneous media using generalized plane waves. Zbl 1378.65179 Imbert-Gérard, Lise-Marie; Monk, Peter 12 2017 Stekloff eigenvalues in inverse scattering. Zbl 1346.35228 Cakoni, F.; Colton, D.; Meng, S.; Monk, P. 56 2016 The linear sampling method for sparse small aperture data. Zbl 1351.65070 Guo, Y.; Monk, P.; Colton, D. 15 2016 An inverse acoustic waveguide problem in the time domain. Zbl 1397.76123 Monk, Peter; Selgas, Virginia 14 2016 Nondestructive testing of the delaminated interface between two materials. Zbl 1362.35328 Cakoni, Fioralba; de Teresa, Irene; Haddar, Houssem; Monk, Peter 11 2016 \(C^0\) Interior penalty Galerkin method for biharmonic eigenvalue problems. Zbl 1349.65439 Brenner, Susanne C.; Monk, Peter; Sun, Jiguang 38 2015 A tent pitching scheme motivated by Friedrichs theory. Zbl 1443.65172 Gopalakrishnan, Jay; Monk, Peter; Sepúlveda, Paulina 13 2015 Residual-based adaptivity and PWDG methods for the Helmholtz equation. Zbl 1433.65300 Kapita, Shelvean; Monk, Peter; Warburton, Timothy 12 2015 Time dependent scattering from a grating. Zbl 1349.78042 Fan, Li; Monk, Peter 6 2015 The time-domain Lippmann-Schwinger equation and convolution quadrature. Zbl 1309.65160 Lechleiter, Armin; Monk, Peter 5 2015 Time dependent electromagnetic scattering by a penetrable obstacle. Zbl 1320.78010 Chan, John Fun-Choi; Monk, Peter 3 2015 Time domain integral equation methods in computational electromagnetism. Zbl 1331.78030 Li, Jielin; Monk, Peter; Weile, Daniel 3 2015 Error analysis for the finite element approximation of transmission eigenvalues. Zbl 1304.65239 Cakoni, Fioralba; Monk, Peter; Sun, Jiguang 44 2014 Discretization of the wave equation using continuous elements in time and a hybridizable discontinuous Galerkin method in space. Zbl 1296.65132 Griesmaier, Roland; Monk, Peter 20 2014 Discretization of the time domain CFIE for acoustic scattering problems using convolution quadrature. Zbl 1344.65090 Chen, Qiang; Monk, Peter 18 2014 The interior transmission problem for regions on a conducting surface. Zbl 1292.78015 Yang, Fan; Monk, Peter 5 2014 The ultra weak variational formulation of thin clamped plate problems. Zbl 1349.74330 Luostari, Teemu; Huttunen, Tomi; Monk, Peter 4 2014 Time domain CFIEs for electromagnetic scattering problems. Zbl 1291.78039 Chen, Qiang; Monk, Peter 1 2014 Improvements for the ultra weak variational formulation. Zbl 1352.65528 Luostari, T.; Huttunen, T.; Monk, P. 25 2013 Toward a time domain approach to the linear sampling method. Zbl 1291.65293 Guo, Y.; Monk, P.; Colton, D. 25 2013 Error estimates for the ultra weak variational formulation in linear elasticity. Zbl 1457.74025 Luostari, Teemu; Huttunen, Tomi; Monk, Peter 10 2013 Finite element methods for Maxwell’s transmission eigenvalues. Zbl 1246.78020 Monk, Peter; Sun, Jiguang 66 2012 Sampling type methods for an inverse waveguide problem. Zbl 1263.74023 Monk, Peter; Selgas, Virginia 19 2012 Analysis of convolution quadrature applied to the time-domain electric field integral equation. Zbl 1373.78069 Chen, Q.; Monk, P.; Wang, X.; Weile, D. 17 2012 Multilevel discretization of symmetric saddle point systems without the discrete LBB condition. Zbl 1237.65121 Bacuta, Constantin; Monk, Peter 13 2012 The ultra weak variational formulation using Bessel basis functions. Zbl 1373.35100 Luostari, Teemu; Huttunen, Tomi; Monk, Peter 12 2012 Introduction to applications of numerical analysis in time domain computational electromagnetism. Zbl 1247.78037 Chen, Qiang; Monk, Peter 6 2012 Combining the ultra-weak variational formulation and the multilevel fast multipole method. Zbl 1241.78049 Darrigrand, E.; Monk, P. 1 2012 The linear sampling method in inverse electromagnetic scattering. Zbl 1221.78001 Cakoni, Fioralba; Colton, David; Monk, Peter 92 2011 Error analysis for a hybridizable discontinuous Galerkin method for the Helmholtz equation. Zbl 1246.65211 Griesmaier, Roland; Monk, Peter 50 2011 Hexahedral \(\mathbf H(\operatorname{div})\) and \(\mathbf H(\operatorname{curl})\) finite elements. Zbl 1270.65066 Falk, Richard S.; Gatto, Paolo; Monk, Peter 32 2011 Near field sampling type methods for the inverse fluid-solid interaction problem. Zbl 1408.74026 Monk, Peter; Selgas, Virginia 14 2011 Analytical and computational methods for transmission eigenvalues. Zbl 1192.78024 Colton, David; Monk, Peter; Sun, Jiguang 85 2010 The inverse electromagnetic scattering problem for anisotropic media. Zbl 1197.35314 Cakoni, Fioralba; Colton, David; Monk, Peter; Sun, Jiguang 68 2010 A sampling method for inverse scattering in the time domain. Zbl 1197.35315 Chen, Q.; Haddar, H.; Lechleiter, A.; Monk, P. 31 2010 The determination of boundary coefficients from far field measurements. Zbl 1204.78013 Cakoni, Fioralba; Colton, David; Monk, Peter 7 2010 The determination of anisotropic surface impedance in electromagnetic scattering. Zbl 1230.78016 Cakoni, Fioralba; Monk, Peter 4 2010 An inverse fluid–solid interaction problem. Zbl 1183.65138 Monk, Peter; Selgas, Virginia 18 2009 The PML for rough surface scattering. Zbl 1419.78007 Chandler-Wilde, Simon N.; Monk, Peter 12 2009 Plane wave methods for approximating the time harmonic wave equation. Zbl 1179.78114 Luostari, Teemu; Huttunen, Tomi; Monk, Peter 4 2009 Wave-number-explicit bounds in time-harmonic scattering. Zbl 1154.35022 Chandler-Wilde, Simon N.; Monk, Peter 58 2008 Error estimates for the ultra weak variational formulation of the Helmholtz equation. Zbl 1155.65094 Buffa, Annalisa; Monk, Peter 50 2008 An ultra-weak method for acoustic fluid-solid interaction. Zbl 1182.76949 Huttunen, T.; Kaipio, J. P.; Monk, P. 20 2008 A finite difference delay modeling approach to the discretization of the time domain integral equations of electromagnetics. Zbl 1369.78846 Wang, Xiaobo; Wildman, Raymond A.; Weile, Daniel S.; Monk, Peter 20 2008 On the use of transmission eigenvalues to estimate the index of refraction from far field data. Zbl 1115.78008 Cakoni, Fioralba; Colton, David; Monk, Peter 49 2007 Solving Maxwell’s equations using the ultra weak variational formulation. Zbl 1117.78011 Huttunen, T.; Malinen, M.; Monk, P. 43 2007 The mathematics of scattering by unbounded, rough, inhomogeneous layers. Zbl 1118.78007 Chandler-Wilde, Simon N.; Monk, Peter; Thomas, Martin 17 2007 Inverse scattering using finite elements and gap reciprocity. Zbl 1194.35508 Monk, Peter; Sun, Jiguang 8 2007 The inverse electromagnetic scattering problem for a partially coated dielectric. Zbl 1222.78024 Cakoni, Fioralba; Colton, David; Monk, Peter 5 2007 Coupling of the ultra-weak variational formulation and an integral representation using a fast multipole method in electromagnetism. Zbl 1136.78008 Darrigrand, E.; Monk, P. 4 2007 Dispersive and dissipative properties of discontinuous Galerkin finite element methods for the second-order wave equation. Zbl 1102.76032 Ainsworth, M.; Monk, P.; Muniz, W. 91 2006 The inverse source problem for Maxwell’s equations. Zbl 1099.35161 Albanese, R.; Monk, P. B. 62 2006 The 3D inverse electromagnetic scattering problem for a coated dielectric. Zbl 1118.78008 Cakoni, Fioralba; Monk, Peter 1 2006 Existence, uniqueness, and variational methods for scattering by unbounded rough surfaces. Zbl 1127.35030 Chandler-Wilde, Simon N.; Monk, Peter 64 2005 A discontinuous Galerkin method for linear symmetric hyperbolic systems in inhomogeneous media. Zbl 1082.65099 Monk, Peter; Richter, Gerard R. 63 2005 The determination of the surface conductivity of a partially coated dielectric. Zbl 1083.78007 Cakoni, Fioralba; Colton, David; Monk, Peter 21 2005 The ultra-weak variational formulation for elastic wave problems. Zbl 1093.74028 Huttunen, T.; Monk, P.; Collino, F.; Kaipio, J. P. 40 2004 The electromagnetic inverse-scattering problem for partly coated Lipschitz domains. Zbl 1071.78021 Cakoni, Fioralba; Colton, David; Monk, Peter 28 2004 The perfectly matched layer for the ultra weak variational formulation of the 3D Helmholtz equation. Zbl 1075.76648 Huttunen, Tomi; Kaipio, Jari P.; Monk, Peter 19 2004 An eddy-current and micromagnetism model with applications to disk write heads. Zbl 1109.78325 Sun, J.; Collino, F.; Monk, P. B.; Wang, Lei 5 2004 Finite element methods for Maxwell’s equations. Zbl 1024.78009 Monk, Peter 1,132 2003 A simple proof of convergence for an edge element discretization of Maxwell’s equations. Zbl 1031.65122 Monk, Peter 16 2003 Computational electromagnetics. Proceedings of the GAMM workshop on computational electromagnetics, Kiel, Germany, January 26–28, 2001. Zbl 1007.78001 7 2003 Herglotz wave functions in inverse electromagnetic scattering theory. Zbl 1042.78007 Colton, David; Monk, Peter 2 2003 Computational aspects of the ultra-weak variational formulation. Zbl 1015.65064 Huttunen, Tomi; Monk, Peter; Kaipio, Jari P. 64 2002 Stabilized interior penalty methods for the time-harmonic Maxwell equations. Zbl 1040.78011 Perugia, I.; Schötzau, D.; Monk, P. 60 2002 The linear sampling method for solving the electromagnetic inverse scattering problem. Zbl 1037.78008 Colton, David; Haddar, Houssem; Monk, Peter 30 2002 The linear sampling method for solving the electromagnetic inverse medium problem. Zbl 1006.35102 Haddar, Houssem; Monk, Peter 24 2002 A finite element method for approximating electromagnetic scattering from a conducting object. Zbl 1004.78007 Kirsch, Andreas; Monk, Peter 5 2002 Error analysis of a finite element-integral equation scheme for approximating the time-harmonic Maxwell system. Zbl 1043.65118 Hsiao, G. C.; Monk, P. B.; Nigam, N. 5 2002 The direct and inverse scattering problems for partially coated obstacles. Zbl 1001.35122 Cakoni, Fioralba; Colton, David; Monk, Peter 38 2001 Discrete compactness and the approximation of Maxwell’s equations in \(\mathbb{R} ^3\). Zbl 1035.65131 Monk, P.; Demkowicz, L. 37 2001 Accurate discretization of a nonlinear micromagnetic problem. Zbl 0991.78004 Monk, P. B.; Vacus, O. 13 2001 Phase-accuracy comparisons and improved far-field estimates for 3-D edge elements on tetrahedral meshes. Zbl 0982.78023 Monk, Peter; Parrott, Kevin 5 2001 Recent developments in inverse acoustic scattering theory. Zbl 0960.76081 Colton, David; Coyle, Joe; Monk, Peter 97 2000 ...and 61 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 3,130 Authors 69 Monk, Peter B. 68 Li, Jichun 51 Huang, Yunqing 42 Liu, Hongyu 40 Li, Peijun 37 Sun, Jiguang 35 Slodička, Marián 34 Cakoni, Fioralba 32 Hiptmair, Ralf 32 Hu, Guanghui 31 Perugia, Ilaria 30 Zou, Jun 28 Demkowicz, Leszek 28 Haddar, Houssem 28 Yang, Wei 27 Yang, Yidu 27 Zhang, Zhimin 26 Nicaise, Serge 26 Spence, Euan A. 25 Bi, Hai 25 Colton, David Lem 25 Yan, Guozheng 24 Guo, Yukun 23 Schöberl, Joachim 21 Bao, Gang 21 Zhang, Bo 21 Zhang, Shangyou 20 Chaumont-Frelet, Théophile 20 Gopalakrishnan, Jay 19 Wang, Xianchao 18 Bacuta, Constantin 18 Harris, Isaac 18 Ji, Xia 17 Hu, Qiya 17 Laghrouche, Omar 17 Li, Jingzhi 17 Rodríguez, Rodolfo 16 Brenner, Susanne Cecelia 16 Liu, Xiaodong 16 Mohamed, M. Shadi 16 Moiola, Andrea 16 Yang, Jiaqing 16 Zheng, Weiying 15 Buffa, Annalisa 15 Ciarlet, Patrick jun. 15 Duan, Huoyuan 15 Geuzaine, Christophe A. 15 Han, Jiayu 15 Joly, Patrick 15 Melenk, Jens Markus 15 Sayas, Francisco-Javier 15 Trevelyan, Jon 14 An, Jing 14 Barucq, Hélène 14 Cockburn, Bernardo 14 Farhat, Charbel H. 14 Kress, Rainer 14 Lanteri, Stéphane 14 Rapún, María-Luisa 14 Schöps, Sebastian 14 Yousept, Irwin 13 Antoine, Xavier 13 Beirão da Veiga, Lourenço 13 Ma, Fuming 13 Pasciak, Joseph E. 13 Schötzau, Dominik 13 Sung, Li-Yeng 12 Alonso Rodríguez, Ana 12 Boffi, Daniele 12 Burman, Erik 12 Chandler-Wilde, Simon N. 12 Griesmaier, Roland 12 Huttunen, Tomi 12 Kleefeld, Andreas 12 Le Louër, Frédérique 12 Lechleiter, Armin 12 Mascotto, Lorenzo 12 Qiu, Weifeng 12 Qu, Fenglong 12 Wu, Haijun 12 Yang, Chuanfu 12 Yuan, Long 12 Zhang, Ruming 12 Zhao, Yue 11 Cui, Jintao 11 Dassi, Franco 11 Kirsch, Andreas 11 Ledger, Paul David 11 Li, Hong 11 Mao, Shipeng 11 Meng, Jian 11 Xu, Liwei 11 Ye, Xiu 11 Yin, Tao 11 Zhang, Qian 10 Chen, Long 10 Després, Bruno 10 Ding, Qianqian 10 Du, Yu 10 Egger, Herbert ...and 3,030 more Authors all top 5 Cited in 242 Serials 255 Journal of Computational Physics 168 Computer Methods in Applied Mechanics and Engineering 168 Journal of Computational and Applied Mathematics 157 Computers & Mathematics with Applications 148 Journal of Scientific Computing 95 Inverse Problems 95 SIAM Journal on Numerical Analysis 93 Mathematics of Computation 79 SIAM Journal on Scientific Computing 77 Numerische Mathematik 70 Applied Numerical Mathematics 61 Mathematical Methods in the Applied Sciences 61 International Journal for Numerical Methods in Engineering 59 Applicable Analysis 55 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 53 Applied Mathematics and Computation 49 Numerical Methods for Partial Differential Equations 45 Inverse Problems and Imaging 42 Journal of Mathematical Analysis and Applications 40 SIAM Journal on Applied Mathematics 40 Advances in Computational Mathematics 38 M\(^3\)AS. 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(English Edition) 4 Journal of Applied Mathematics and Computing 4 Acta Numerica 4 Numerical Mathematics: Theory, Methods and Applications 4 AIMS Mathematics ...and 142 more Serials all top 5 Cited in 48 Fields 2,076 Numerical analysis (65-XX) 1,769 Partial differential equations (35-XX) 1,240 Optics, electromagnetic theory (78-XX) 457 Fluid mechanics (76-XX) 357 Mechanics of deformable solids (74-XX) 85 Calculus of variations and optimal control; optimization (49-XX) 72 Integral equations (45-XX) 59 Operator theory (47-XX) 55 Global analysis, analysis on manifolds (58-XX) 54 Ordinary differential equations (34-XX) 52 Statistical mechanics, structure of matter (82-XX) 40 Geophysics (86-XX) 37 Potential theory (31-XX) 37 Approximations and expansions (41-XX) 37 Computer science (68-XX) 28 Quantum theory (81-XX) 27 Statistics (62-XX) 27 Systems theory; control (93-XX) 26 Biology and other natural sciences (92-XX) 25 Information and communication theory, circuits (94-XX) 22 Classical thermodynamics, heat transfer (80-XX) 20 Functional analysis (46-XX) 19 Probability theory and stochastic processes (60-XX) 15 Special functions (33-XX) 15 Dynamical systems and ergodic theory (37-XX) 15 Harmonic analysis on Euclidean spaces (42-XX) 15 Integral transforms, operational calculus (44-XX) 13 Linear and multilinear algebra; matrix theory (15-XX) 12 Real functions (26-XX) 8 Astronomy and astrophysics (85-XX) 7 Functions of a complex variable (30-XX) 6 General and overarching topics; collections (00-XX) 6 History and biography (01-XX) 6 Relativity and gravitational theory (83-XX) 6 Operations research, mathematical programming (90-XX) 5 Mechanics of particles and systems (70-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Difference and functional equations (39-XX) 3 Convex and discrete geometry (52-XX) 3 Differential geometry (53-XX) 2 Algebraic topology (55-XX) 1 Combinatorics (05-XX) 1 Commutative algebra (13-XX) 1 Algebraic geometry (14-XX) 1 Nonassociative rings and algebras (17-XX) 1 Measure and integration (28-XX) 1 Geometry (51-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Citations by Year