Edit Profile (opens in new tab) Monk, Peter B. Compute Distance To: Compute Author ID: monk.peter-b Published as: Monk, Peter; Monk, P.; Monk, P. B.; Monk, Peter B. Documents Indexed: 172 Publications since 1985, including 2 Books 4 Contributions as Editor · 1 Further Contribution Biographic References: 3 Publications Co-Authors: 89 Co-Authors with 161 Joint Publications 2,469 Co-Co-Authors all top 5 Co-Authors 15 single-authored 47 Colton, David Lem 17 Cakoni, Fioralba 11 Huttunen, Tomi 11 Selgas, Virginia 6 Kirsch, Andreas 6 Luostari, Teemu 6 Sun, Jiguang 5 Chen, Qiang 5 Collino, Francis 5 Haddar, Houssem 5 Kaipio, Jari P. 5 Zhang, Yangwen 4 Chandler-Wilde, Simon N. 4 Civiletti, Benjamin J. 4 Cogar, Samuel 4 Lakhtakia, Akhlesh 4 Othmer, Hans G. 3 Chen, Gang 3 Cohen, Gary C. 3 Coyle, Joe 3 Demkowicz, Leszek F. 3 Kapita, Shelvean 3 Kress, Rainer 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 Lackner, Christopher 2 Lechleiter, Armin 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 de Castro, 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 Hiptmair, Ralf 1 Hoppe, Ronald H. W. 1 Hsiao, George C. 1 Imbert-Gérard, Lise-Marie 1 Jennings, Nicholas R. 1 Lähivaara, Timo 1 Langer, Ulrich 1 LeHyaric, A. 1 Levitin, Michael R. 1 Li, Jielin 1 Makridakis, Charalambos G. 1 Malinen, Matti 1 Melenk, Jens Markus 1 Muniz, Wagner Barbosa 1 Nigam, Nilima 1 Parrott, Kevin 1 Pauly, Dirk 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 Solano, Manuel E. 1 Sun, Jiguan 1 Thomas, Martin 1 Valli, Alberto 1 Wang, Daqing 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 15 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 5 Computer Methods in Applied Mechanics and Engineering 5 Journal of Scientific Computing 5 SIAM Journal on Mathematical Analysis 5 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 4 Mathematics of Computation 4 Applied Numerical Mathematics 4 Inverse Problems and Imaging 3 Applicable Analysis 3 Computers & Mathematics with Applications 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 IMA Journal of Numerical Analysis 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 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 Computational Methods in Applied Mathematics 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 125 Partial differential equations (35-XX) 105 Numerical analysis (65-XX) 92 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 Statistical mechanics, structure of matter (82-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Potential theory (31-XX) 2 Operator theory (47-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 146 Publications have been cited 3,530 times in 2,219 Documents Cited by ▼ Year ▼ Finite element methods for Maxwell’s equations. Zbl 1024.78009Monk, Peter 737 2003 The perfectly matched layer in curvilinear coordinates. Zbl 0940.78011Collino, Francis; Monk, Peter 116 1998 A least-squares method for the Helmholtz equation. Zbl 0943.65127Monk, P.; Wang, Da-Qing 98 1999 Recent developments in inverse acoustic scattering theory. Zbl 0960.76081Colton, David; Coyle, Joe; Monk, Peter 82 2000 Dispersive and dissipative properties of discontinuous Galerkin finite element methods for the second-order wave equation. Zbl 1102.76032Ainsworth, M.; Monk, P.; Muniz, W. 76 2006 The inverse scattering problem for time-harmonic acoustic waves in an inhomogeneous medium. Zbl 0637.73026Colton, David; Monk, Peter 65 1988 The linear sampling method in inverse electromagnetic scattering. Zbl 1221.78001Cakoni, Fioralba; Colton, David; Monk, Peter 60 2011 Computational aspects of the ultra-weak variational formulation. Zbl 1015.65064Huttunen, Tomi; Monk, Peter; Kaipio, Jari P. 58 2002 Analytical and computational methods for transmission eigenvalues. Zbl 1192.78024Colton, David; Monk, Peter; Sun, Jiguang 55 2010 Continuous finite elements in space and time for the heat equation. Zbl 0673.65070Aziz, A. K.; Monk, Peter 52 1989 de Rham diagram for \(hp\) finite element spaces. Zbl 0955.65084Demkowicz, L.; Monk, P.; Vardapetyan, L.; Rachowicz, W. 52 2000 Stabilized interior penalty methods for the time-harmonic Maxwell equations. Zbl 1040.78011Perugia, I.; Schötzau, D.; Monk, P. 52 2002 Analysis of a finite element method for Maxwell’s equations. Zbl 0761.65097Monk, Peter 51 1992 A finite element method for approximating the time-harmonic Maxwell equations. Zbl 0757.65126Monk, Peter 50 1992 A discontinuous Galerkin method for linear symmetric hyperbolic systems in inhomogeneous media. Zbl 1082.65099Monk, Peter; Richter, Gerard R. 49 2005 Existence, uniqueness, and variational methods for scattering by unbounded rough surfaces. Zbl 1127.35030Chandler-Wilde, Simon N.; Monk, Peter 47 2005 The inverse electromagnetic scattering problem for anisotropic media. Zbl 1197.35314Cakoni, Fioralba; Colton, David; Monk, Peter; Sun, Jiguang 47 2010 A convergence analysis of Yee’s scheme on nonuniform grids. Zbl 0805.65121Monk, Peter; Süli, Endre 47 1994 Optimizing the perfectly matched layer. Zbl 1040.78524Collino, F.; Monk, P. B. 46 1998 Finite element methods for Maxwell’s transmission eigenvalues. Zbl 1246.78020Monk, Peter; Sun, Jiguang 43 2012 The inverse source problem for Maxwell’s equations. Zbl 1099.35161Albanese, R.; Monk, P. B. 42 2006 A mixed finite element method for the biharmonic equation. Zbl 0632.65112Monk, Peter 42 1987 Error estimates for the ultra weak variational formulation of the Helmholtz equation. Zbl 1155.65094Buffa, Annalisa; Monk, Peter 41 2008 A mixed method for approximating Maxwell’s equations. Zbl 0742.65091Monk, Peter B. 39 1991 Wave-number-explicit bounds in time-harmonic scattering. Zbl 1154.35022Chandler-Wilde, Simon N.; Monk, Peter 38 2008 Solving Maxwell’s equations using the ultra weak variational formulation. Zbl 1117.78011Huttunen, T.; Malinen, M.; Monk, P. 37 2007 A posteriori error indicators for Maxwell’s equations. Zbl 1023.78004Monk, Peter 36 1998 On the use of transmission eigenvalues to estimate the index of refraction from far field data. Zbl 1115.78008Cakoni, Fioralba; Colton, David; Monk, Peter 36 2007 The ultra-weak variational formulation for elastic wave problems. Zbl 1093.74028Huttunen, T.; Monk, P.; Collino, F.; Kaipio, J. P. 36 2004 Stekloff eigenvalues in inverse scattering. Zbl 1346.35228Cakoni, F.; Colton, D.; Meng, S.; Monk, P. 35 2016 Error analysis for a hybridizable discontinuous Galerkin method for the Helmholtz equation. Zbl 1246.65211Griesmaier, Roland; Monk, Peter 35 2011 The direct and inverse scattering problems for partially coated obstacles. Zbl 1001.35122Cakoni, Fioralba; Colton, David; Monk, Peter 34 2001 Discrete compactness and the approximation of Maxwell’s equations in \(\mathbb{R} ^3\). Zbl 1035.65131Monk, P.; Demkowicz, L. 33 2001 The adaptive computation of far-field patterns by a posteriori error estimation of linear functionals. Zbl 0932.65115Monk, Peter; Süli, Endre 31 1998 Error analysis for the finite element approximation of transmission eigenvalues. Zbl 1304.65239Cakoni, Fioralba; Monk, Peter; Sun, Jiguang 31 2014 An analysis of Nédélec’s method for the spatial discretization of Maxwell’s equations. Zbl 0784.65091Monk, Peter 31 1993 A novel method for solving the inverse scattering problem for time- harmonic acoustic waves in the resonance region. Zbl 0588.76140Colton, David; Monk, Peter 30 1985 A novel method for solving the inverse scattering problem for time- harmonic acoustic waves in the resonance region. II. Zbl 0641.76073Colton, David; Monk, Peter 30 1986 The linear sampling method for solving the electromagnetic inverse scattering problem. Zbl 1037.78008Colton, David; Haddar, Houssem; Monk, Peter 28 2002 Superconvergence of finite element approximations to Maxwell’s equations. Zbl 0809.65124Monk, Peter 28 1994 A comparison of three mixed methods for the time-dependent Maxwell’s equations. Zbl 0762.65081Monk, Peter 26 1992 The electromagnetic inverse-scattering problem for partly coated Lipschitz domains. Zbl 1071.78021Cakoni, Fioralba; Colton, David; Monk, Peter 25 2004 Time-discrete finite element schemes for Maxwell’s equations. Zbl 0834.65120Makridakis, Ch. G.; Monk, P. 23 1995 An analysis of the coupling of finite-element and Nyström methods in acoustic scattering. Zbl 0816.65104Kirsch, A.; Monk, P. 21 1994 The linear sampling method for solving the electromagnetic inverse medium problem. Zbl 1006.35102Haddar, Houssem; Monk, Peter 21 2002 The numerical solution of the three-dimensional inverse scattering problem for time harmonic acoustic waves. Zbl 0623.65130Colton, David; Monk, Peter 21 1987 A finite element/spectral method for approximating the time-harmonic Maxwell system in \(\mathbb{R}^ 3\). Zbl 0840.65128Kirsch, Andreas; Monk, Peter 21 1995 A sampling method for inverse scattering in the time domain. Zbl 1197.35315Chen, Q.; Haddar, H.; Lechleiter, A.; Monk, P. 20 2010 Hexahedral \(\mathbf H(\operatorname{div})\) and \(\mathbf H(\operatorname{curl})\) finite elements. Zbl 1270.65066Falk, Richard S.; Gatto, Paolo; Monk, Peter 20 2011 Improvements for the ultra weak variational formulation. Zbl 1352.65528Luostari, T.; Huttunen, T.; Monk, P. 20 2013 \(C^0\) Interior penalty Galerkin method for biharmonic eigenvalue problems. Zbl 1349.65439Brenner, Susanne C.; Monk, Peter; Sun, Jiguan 20 2015 A regularized sampling method for solving three-dimensional inverse scattering problems. Zbl 0961.35172Colton, David; Giebermann, Klaus; Monk, Peter 19 2000 Logarithmic convexity for discrete harmonic functions and the approximation of the Cauchy problem for Poisson’s equation. Zbl 0623.65095Falk, R. S.; Monk, P. B. 19 1986 The determination of the surface conductivity of a partially coated dielectric. Zbl 1083.78007Cakoni, Fioralba; Colton, David; Monk, Peter 18 2005 A dispersion analysis of finite element methods for Maxwell’s equations. Zbl 0804.65122Monk, P. B.; Parrott, A. K. 18 1994 Two methods for solving the inverse acoustic scattering problem. Zbl 0698.65076Kirsch, Andreas; Kress, Rainer; Monk, P.; Zinn, Axel 18 1988 Gauss point mass lumping schemes for Maxwell’s equations. Zbl 0891.65130Cohen, Gary; Monk, Peter 18 1998 An ultra-weak method for acoustic fluid-solid interaction. Zbl 1182.76949Huttunen, T.; Kaipio, J. P.; Monk, P. 18 2008 A finite difference delay modeling approach to the discretization of the time domain integral equations of electromagnetics. Zbl 1369.78846Wang, Xiaobo; Wildman, Raymond A.; Weile, Daniel S.; Monk, Peter 17 2008 The perfectly matched layer for the ultra weak variational formulation of the 3D Helmholtz equation. Zbl 1075.76648Huttunen, Tomi; Kaipio, Jari P.; Monk, Peter 16 2004 Discretization of the time domain CFIE for acoustic scattering problems using convolution quadrature. Zbl 1344.65090Chen, Qiang; Monk, Peter 16 2014 Maxwell eigenvalues and discrete compactness in two dimensions. Zbl 0998.78011Demkowicz, L.; Monk, P.; Schwab, Ch.; Vardapetyan, L. 16 2000 Analysis of convolution quadrature applied to the time-domain electric field integral equation. Zbl 1373.78069Chen, Q.; Monk, P.; Wang, X.; Weile, D. 16 2012 Electromagnetic Stekloff eigenvalues in inverse scattering. Zbl 1375.35628Camaño, Jessika; Lackner, Christopher; Monk, Peter 16 2017 Sampling type methods for an inverse waveguide problem. Zbl 1263.74023Monk, Peter; Selgas, Virginia 15 2012 Toward a time domain approach to the linear sampling method. Zbl 1291.65293Guo, Y.; Monk, P.; Colton, D. 15 2013 Modified transmission eigenvalues in inverse scattering theory. Zbl 1394.35305Cogar, S.; Colton, D.; Meng, S.; Monk, P. 15 2017 Error estimates for a numerical scheme for ferromagnetic problems. Zbl 0924.65113Monk, P. B.; Vacus, O. 14 1998 On the \(p\)- and \(hp\)-extension of Nédélec’s curl-conforming elements. Zbl 0820.65066Monk, Peter 14 1994 The inverse scattering problem for time-harmonic acoustic waves in a penetrable medium. Zbl 0619.35110Colton, David; Monk, Peter 14 1987 Optimizing the perfectly matched layer. Zbl 0964.78018Monk, P.; Collino, F. 14 1998 Near field sampling type methods for the inverse fluid-solid interaction problem. Zbl 1408.74026Monk, Peter; Selgas, Virginia 13 2011 An inverse fluid–solid interaction problem. Zbl 1183.65138Monk, Peter; Selgas, Virginia 13 2009 A simple proof of convergence for an edge element discretization of Maxwell’s equations. Zbl 1031.65122Monk, Peter 13 2003 The mathematics of scattering by unbounded, rough, inhomogeneous layers. Zbl 1118.78007Chandler-Wilde, Simon N.; Monk, Peter; Thomas, Martin 13 2007 Accurate discretization of a nonlinear micromagnetic problem. Zbl 0991.78004Monk, P. B.; Vacus, O. 13 2001 Mur-Nédélec finite element schemes for Maxwell’s equations. Zbl 0956.78008Cohen, Gary; Monk, Peter 12 1999 Inverse scattering from an orthotropic medium. Zbl 0885.35143Colton, David; Kress, Rainer; Monk, Peter 12 1997 Multilevel discretization of symmetric saddle point systems without the discrete LBB condition. Zbl 1237.65121Bacuta, Constantin; Monk, Peter 12 2012 Convergence analysis of a coupled finite element and spectral method in acoustic scattering. Zbl 0712.65095Kirsch, A.; Monk, P. 10 1990 Error estimates for the ultra weak variational formulation in linear elasticity. Zbl 1457.74025Luostari, Teemu; Huttunen, Tomi; Monk, Peter 10 2013 Scattering of time-harmonic electromagnetic waves by anisotropic inhomogeneous scatterers or impenetrable obstacles. Zbl 0979.78015Coyle, Joe; Monk, Peter 10 2000 Residual-based adaptivity and PWDG methods for the Helmholtz equation. Zbl 1433.65300Kapita, Shelvean; Monk, Peter; Warburton, Timothy 10 2015 An inverse acoustic waveguide problem in the time domain. Zbl 1397.76123Monk, Peter; Selgas, Virginia 10 2016 Discretization of the wave equation using continuous elements in time and a hybridizable discontinuous Galerkin method in space. Zbl 1296.65132Griesmaier, Roland; Monk, Peter 10 2014 The linear sampling method for sparse small aperture data. Zbl 1351.65070Guo, Y.; Monk, P.; Colton, D. 10 2016 The ultra weak variational formulation using Bessel basis functions. Zbl 1373.35100Luostari, Teemu; Huttunen, Tomi; Monk, Peter 10 2012 The PML for rough surface scattering. Zbl 1419.78007Chandler-Wilde, Simon N.; Monk, Peter 8 2009 Nondestructive testing of the delaminated interface between two materials. Zbl 1362.35328Cakoni, Fioralba; de Teresa, Irene; Haddar, Houssem; Monk, Peter 8 2016 A linear sampling method for the detection of leukemia using microwaves. Zbl 0907.92014Colton, David; Monk, Peter 8 1998 Numerical simulation of wave propagation in inhomogeneous media using generalized plane waves. Zbl 1378.65179Imbert-Gérard, Lise-Marie; Monk, Peter 8 2017 Using eigenvalues to detect anomalies in the exterior of a cavity. Zbl 1400.78015Cogar, S.; Colton, D.; Monk, P. 7 2018 A new method for solving the inverse scattering problem for acoustic waves in an inhomogeneous medium. Zbl 0715.35081Colton, David; Monk, Peter 6 1989 The determination of boundary coefficients from far field measurements. Zbl 1204.78013Cakoni, Fioralba; Colton, David; Monk, Peter 6 2010 Inverse scattering using finite elements and gap reciprocity. Zbl 1194.35508Monk, Peter; Sun, Jiguang 6 2007 A finite element method for approximating electromagnetic scattering from a conducting object. Zbl 1004.78007Kirsch, Andreas; Monk, Peter 5 2002 Error analysis of a finite element-integral equation scheme for approximating the time-harmonic Maxwell system. Zbl 1043.65118Hsiao, G. C.; Monk, P. B.; Nigam, N. 5 2002 Computational electromagnetics. Proceedings of the GAMM workshop on computational electromagnetics, Kiel, Germany, January 26–28, 2001. Zbl 1007.78001 5 2003 The interior transmission problem for regions on a conducting surface. Zbl 1292.78015Yang, Fan; Monk, Peter 5 2014 An eddy-current and micromagnetism model with applications to disk write heads. Zbl 1109.78325Sun, J.; Collino, F.; Monk, P. B.; Wang, Lei 5 2004 Analysis of the linear sampling method for imaging penetrable obstacles in the time domain. Zbl 1467.35343Cakoni, Fioralba; Monk, Peter; Selgas, Virginia 3 2021 Modified electromagnetic transmission eigenvalues in inverse scattering theory. Zbl 1455.35070Cogar, Samuel; Monk, Peter B. 4 2020 Analysis of the rigorous coupled wave approach for \(s\)-polarized light in gratings. Zbl 1433.78021Civiletti, Benjamin J.; Lakhtakia, Akhlesh; Monk, Peter B. 2 2020 Eigenvalue problems in inverse electromagnetic scattering theory. Zbl 1445.78004Cogar, Samuel; Colton, David; Monk, Peter 5 2019 A Bayesian approach to improving the Born approximation for inverse scattering with high-contrast materials. Zbl 1444.35164Kaipio, J. P.; Huttunen, T.; Luostari, T.; Lähivaara, T.; Monk, P. B. 3 2019 Near-field linear sampling method for an inverse problem in an electromagnetic waveguide. Zbl 1461.35240Monk, Peter; Selgas, Virginia; Yang, Fan 2 2019 Using eigenvalues to detect anomalies in the exterior of a cavity. Zbl 1400.78015Cogar, S.; Colton, D.; Monk, P. 7 2018 Nondestructive testing of delaminated interfaces between two materials using electromagnetic interrogation. Zbl 1395.78048Cakoni, Fioralba; de Teresa, Irene; Monk, Peter 2 2018 A plane wave discontinuous Galerkin method with a Dirichlet-to-Neumann boundary condition for the scattering problem in acoustics. Zbl 1372.65309Kapita, Shelvean; Monk, Peter 2 2018 Electromagnetic Stekloff eigenvalues in inverse scattering. Zbl 1375.35628Camaño, Jessika; Lackner, Christopher; Monk, Peter 16 2017 Modified transmission eigenvalues in inverse scattering theory. Zbl 1394.35305Cogar, S.; Colton, D.; Meng, S.; Monk, P. 15 2017 Numerical simulation of wave propagation in inhomogeneous media using generalized plane waves. Zbl 1378.65179Imbert-Gérard, Lise-Marie; Monk, Peter 8 2017 Stekloff eigenvalues in inverse scattering. Zbl 1346.35228Cakoni, F.; Colton, D.; Meng, S.; Monk, P. 35 2016 An inverse acoustic waveguide problem in the time domain. Zbl 1397.76123Monk, Peter; Selgas, Virginia 10 2016 The linear sampling method for sparse small aperture data. Zbl 1351.65070Guo, Y.; Monk, P.; Colton, D. 10 2016 Nondestructive testing of the delaminated interface between two materials. Zbl 1362.35328Cakoni, Fioralba; de Teresa, Irene; Haddar, Houssem; Monk, Peter 8 2016 \(C^0\) Interior penalty Galerkin method for biharmonic eigenvalue problems. Zbl 1349.65439Brenner, Susanne C.; Monk, Peter; Sun, Jiguan 20 2015 Residual-based adaptivity and PWDG methods for the Helmholtz equation. Zbl 1433.65300Kapita, Shelvean; Monk, Peter; Warburton, Timothy 10 2015 Time dependent scattering from a grating. Zbl 1349.78042Fan, Li; Monk, Peter 4 2015 The time-domain Lippmann-Schwinger equation and convolution quadrature. Zbl 1309.65160Lechleiter, Armin; Monk, Peter 3 2015 Time domain integral equation methods in computational electromagnetism. Zbl 1331.78030Li, Jielin; Monk, Peter; Weile, Daniel 3 2015 Time dependent electromagnetic scattering by a penetrable obstacle. Zbl 1320.78010Chan, John Fun-Choi; Monk, Peter 3 2015 A tent pitching scheme motivated by Friedrichs theory. Zbl 1443.65172Gopalakrishnan, Jay; Monk, Peter; Sepúlveda, Paulina 2 2015 Error analysis for the finite element approximation of transmission eigenvalues. Zbl 1304.65239Cakoni, Fioralba; Monk, Peter; Sun, Jiguang 31 2014 Discretization of the time domain CFIE for acoustic scattering problems using convolution quadrature. Zbl 1344.65090Chen, Qiang; Monk, Peter 16 2014 Discretization of the wave equation using continuous elements in time and a hybridizable discontinuous Galerkin method in space. Zbl 1296.65132Griesmaier, Roland; Monk, Peter 10 2014 The interior transmission problem for regions on a conducting surface. Zbl 1292.78015Yang, Fan; Monk, Peter 5 2014 The ultra weak variational formulation of thin clamped plate problems. Zbl 1349.74330Luostari, Teemu; Huttunen, Tomi; Monk, Peter 4 2014 Time domain CFIEs for electromagnetic scattering problems. Zbl 1291.78039Chen, Qiang; Monk, Peter 1 2014 Improvements for the ultra weak variational formulation. Zbl 1352.65528Luostari, T.; Huttunen, T.; Monk, P. 20 2013 Toward a time domain approach to the linear sampling method. Zbl 1291.65293Guo, Y.; Monk, P.; Colton, D. 15 2013 Error estimates for the ultra weak variational formulation in linear elasticity. Zbl 1457.74025Luostari, Teemu; Huttunen, Tomi; Monk, Peter 10 2013 Finite element methods for Maxwell’s transmission eigenvalues. Zbl 1246.78020Monk, Peter; Sun, Jiguang 43 2012 Analysis of convolution quadrature applied to the time-domain electric field integral equation. Zbl 1373.78069Chen, Q.; Monk, P.; Wang, X.; Weile, D. 16 2012 Sampling type methods for an inverse waveguide problem. Zbl 1263.74023Monk, Peter; Selgas, Virginia 15 2012 Multilevel discretization of symmetric saddle point systems without the discrete LBB condition. Zbl 1237.65121Bacuta, Constantin; Monk, Peter 12 2012 The ultra weak variational formulation using Bessel basis functions. Zbl 1373.35100Luostari, Teemu; Huttunen, Tomi; Monk, Peter 10 2012 Introduction to applications of numerical analysis in time domain computational electromagnetism. Zbl 1247.78037Chen, Qiang; Monk, Peter 4 2012 Combining the ultra-weak variational formulation and the multilevel fast multipole method. Zbl 1241.78049Darrigrand, E.; Monk, P. 1 2012 The linear sampling method in inverse electromagnetic scattering. Zbl 1221.78001Cakoni, Fioralba; Colton, David; Monk, Peter 60 2011 Error analysis for a hybridizable discontinuous Galerkin method for the Helmholtz equation. Zbl 1246.65211Griesmaier, Roland; Monk, Peter 35 2011 Hexahedral \(\mathbf H(\operatorname{div})\) and \(\mathbf H(\operatorname{curl})\) finite elements. Zbl 1270.65066Falk, Richard S.; Gatto, Paolo; Monk, Peter 20 2011 Near field sampling type methods for the inverse fluid-solid interaction problem. Zbl 1408.74026Monk, Peter; Selgas, Virginia 13 2011 Analytical and computational methods for transmission eigenvalues. Zbl 1192.78024Colton, David; Monk, Peter; Sun, Jiguang 55 2010 The inverse electromagnetic scattering problem for anisotropic media. Zbl 1197.35314Cakoni, Fioralba; Colton, David; Monk, Peter; Sun, Jiguang 47 2010 A sampling method for inverse scattering in the time domain. Zbl 1197.35315Chen, Q.; Haddar, H.; Lechleiter, A.; Monk, P. 20 2010 The determination of boundary coefficients from far field measurements. Zbl 1204.78013Cakoni, Fioralba; Colton, David; Monk, Peter 6 2010 The determination of anisotropic surface impedance in electromagnetic scattering. Zbl 1230.78016Cakoni, Fioralba; Monk, Peter 3 2010 An inverse fluid–solid interaction problem. Zbl 1183.65138Monk, Peter; Selgas, Virginia 13 2009 The PML for rough surface scattering. Zbl 1419.78007Chandler-Wilde, Simon N.; Monk, Peter 8 2009 Plane wave methods for approximating the time harmonic wave equation. Zbl 1179.78114Luostari, Teemu; Huttunen, Tomi; Monk, Peter 2 2009 Error estimates for the ultra weak variational formulation of the Helmholtz equation. Zbl 1155.65094Buffa, Annalisa; Monk, Peter 41 2008 Wave-number-explicit bounds in time-harmonic scattering. Zbl 1154.35022Chandler-Wilde, Simon N.; Monk, Peter 38 2008 An ultra-weak method for acoustic fluid-solid interaction. Zbl 1182.76949Huttunen, T.; Kaipio, J. P.; Monk, P. 18 2008 A finite difference delay modeling approach to the discretization of the time domain integral equations of electromagnetics. Zbl 1369.78846Wang, Xiaobo; Wildman, Raymond A.; Weile, Daniel S.; Monk, Peter 17 2008 Solving Maxwell’s equations using the ultra weak variational formulation. Zbl 1117.78011Huttunen, T.; Malinen, M.; Monk, P. 37 2007 On the use of transmission eigenvalues to estimate the index of refraction from far field data. Zbl 1115.78008Cakoni, Fioralba; Colton, David; Monk, Peter 36 2007 The mathematics of scattering by unbounded, rough, inhomogeneous layers. Zbl 1118.78007Chandler-Wilde, Simon N.; Monk, Peter; Thomas, Martin 13 2007 Inverse scattering using finite elements and gap reciprocity. Zbl 1194.35508Monk, Peter; Sun, Jiguang 6 2007 The inverse electromagnetic scattering problem for a partially coated dielectric. Zbl 1222.78024Cakoni, Fioralba; Colton, David; Monk, Peter 4 2007 Coupling of the ultra-weak variational formulation and an integral representation using a fast multipole method in electromagnetism. Zbl 1136.78008Darrigrand, E.; Monk, P. 4 2007 Dispersive and dissipative properties of discontinuous Galerkin finite element methods for the second-order wave equation. Zbl 1102.76032Ainsworth, M.; Monk, P.; Muniz, W. 76 2006 The inverse source problem for Maxwell’s equations. Zbl 1099.35161Albanese, R.; Monk, P. B. 42 2006 The 3D inverse electromagnetic scattering problem for a coated dielectric. Zbl 1118.78008Cakoni, Fioralba; Monk, Peter 1 2006 A discontinuous Galerkin method for linear symmetric hyperbolic systems in inhomogeneous media. Zbl 1082.65099Monk, Peter; Richter, Gerard R. 49 2005 Existence, uniqueness, and variational methods for scattering by unbounded rough surfaces. Zbl 1127.35030Chandler-Wilde, Simon N.; Monk, Peter 47 2005 The determination of the surface conductivity of a partially coated dielectric. Zbl 1083.78007Cakoni, Fioralba; Colton, David; Monk, Peter 18 2005 The ultra-weak variational formulation for elastic wave problems. Zbl 1093.74028Huttunen, T.; Monk, P.; Collino, F.; Kaipio, J. P. 36 2004 The electromagnetic inverse-scattering problem for partly coated Lipschitz domains. Zbl 1071.78021Cakoni, Fioralba; Colton, David; Monk, Peter 25 2004 The perfectly matched layer for the ultra weak variational formulation of the 3D Helmholtz equation. Zbl 1075.76648Huttunen, Tomi; Kaipio, Jari P.; Monk, Peter 16 2004 An eddy-current and micromagnetism model with applications to disk write heads. Zbl 1109.78325Sun, J.; Collino, F.; Monk, P. B.; Wang, Lei 5 2004 Finite element methods for Maxwell’s equations. Zbl 1024.78009Monk, Peter 737 2003 A simple proof of convergence for an edge element discretization of Maxwell’s equations. Zbl 1031.65122Monk, Peter 13 2003 Computational electromagnetics. Proceedings of the GAMM workshop on computational electromagnetics, Kiel, Germany, January 26–28, 2001. Zbl 1007.78001 5 2003 Herglotz wave functions in inverse electromagnetic scattering theory. Zbl 1042.78007Colton, David; Monk, Peter 2 2003 Computational aspects of the ultra-weak variational formulation. Zbl 1015.65064Huttunen, Tomi; Monk, Peter; Kaipio, Jari P. 58 2002 Stabilized interior penalty methods for the time-harmonic Maxwell equations. Zbl 1040.78011Perugia, I.; Schötzau, D.; Monk, P. 52 2002 The linear sampling method for solving the electromagnetic inverse scattering problem. Zbl 1037.78008Colton, David; Haddar, Houssem; Monk, Peter 28 2002 The linear sampling method for solving the electromagnetic inverse medium problem. Zbl 1006.35102Haddar, Houssem; Monk, Peter 21 2002 A finite element method for approximating electromagnetic scattering from a conducting object. Zbl 1004.78007Kirsch, Andreas; Monk, Peter 5 2002 Error analysis of a finite element-integral equation scheme for approximating the time-harmonic Maxwell system. Zbl 1043.65118Hsiao, G. C.; Monk, P. B.; Nigam, N. 5 2002 The direct and inverse scattering problems for partially coated obstacles. Zbl 1001.35122Cakoni, Fioralba; Colton, David; Monk, Peter 34 2001 Discrete compactness and the approximation of Maxwell’s equations in \(\mathbb{R} ^3\). Zbl 1035.65131Monk, P.; Demkowicz, L. 33 2001 Accurate discretization of a nonlinear micromagnetic problem. Zbl 0991.78004Monk, P. B.; Vacus, O. 13 2001 Phase-accuracy comparisons and improved far-field estimates for 3-D edge elements on tetrahedral meshes. Zbl 0982.78023Monk, Peter; Parrott, Kevin 5 2001 Recent developments in inverse acoustic scattering theory. Zbl 0960.76081Colton, David; Coyle, Joe; Monk, Peter 82 2000 de Rham diagram for \(hp\) finite element spaces. Zbl 0955.65084Demkowicz, L.; Monk, P.; Vardapetyan, L.; Rachowicz, W. 52 2000 A regularized sampling method for solving three-dimensional inverse scattering problems. Zbl 0961.35172Colton, David; Giebermann, Klaus; Monk, Peter 19 2000 Maxwell eigenvalues and discrete compactness in two dimensions. Zbl 0998.78011Demkowicz, L.; Monk, P.; Schwab, Ch.; Vardapetyan, L. 16 2000 Scattering of time-harmonic electromagnetic waves by anisotropic inhomogeneous scatterers or impenetrable obstacles. Zbl 0979.78015Coyle, Joe; Monk, Peter 10 2000 The finite element approximation of scattering in a layered medium. Zbl 0960.65121Coyle, Joe; Monk, Peter 4 2000 The linear sampling method in inverse scattering theory. Zbl 0968.35132Colton, David; Kirsch, Andreas; Monk, Peter 2 2000 A least-squares method for the Helmholtz equation. Zbl 0943.65127Monk, P.; Wang, Da-Qing 98 1999 Mur-Nédélec finite element schemes for Maxwell’s equations. Zbl 0956.78008Cohen, Gary; Monk, Peter 12 1999 A linear sampling method for the detection of leukemia using microwaves. II. Zbl 1069.92511Colton, David; Monk, Peter 3 1999 The perfectly matched layer in curvilinear coordinates. Zbl 0940.78011Collino, Francis; Monk, Peter 116 1998 Optimizing the perfectly matched layer. Zbl 1040.78524Collino, F.; Monk, P. B. 46 1998 A posteriori error indicators for Maxwell’s equations. Zbl 1023.78004Monk, Peter 36 1998 The adaptive computation of far-field patterns by a posteriori error estimation of linear functionals. Zbl 0932.65115Monk, Peter; Süli, Endre 31 1998 Gauss point mass lumping schemes for Maxwell’s equations. Zbl 0891.65130Cohen, Gary; Monk, Peter 18 1998 ...and 46 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 2,352 Authors 60 Monk, Peter B. 52 Li, Jichun 36 Li, Peijun 35 Huang, Yunqing 31 Slodička, Marián 30 Liu, Hongyu 28 Cakoni, Fioralba 27 Demkowicz, Leszek F. 27 Hiptmair, Ralf 27 Perugia, Ilaria 25 Colton, David Lem 25 Sun, Jiguang 24 Hu, Guanghui 23 Zou, Jun 22 Haddar, Houssem 21 Nicaise, Serge 20 Guo, Yukun 19 Bao, Gang 19 Schöberl, Joachim 19 Yan, Guozheng 19 Yang, Wei 19 Yang, Yidu 16 Bacuta, Constantin 16 Bi, Hai 16 Hu, Qiya 16 Ji, Xia 16 Rodríguez, Rodolfo 16 Spence, Euan A. 16 Zhang, Bo 15 Li, Jingzhi 15 Ma, Fuming 15 Sayas, Francisco-Javier 14 Farhat, Charbel H. 13 Brenner, Susanne Cecelia 13 Buffa, Annalisa 13 Kress, Rainer 13 Laghrouche, Omar 13 Pasciak, Joseph E. 13 Trevelyan, Jon 13 Zhang, Shangyou 13 Zhang, Zhimin 12 Antoine, Xavier 12 Boffi, Daniele 12 Ciarlet, Patrick jun. 12 Cockburn, Bernardo 12 Huttunen, Tomi 12 Joly, Patrick 12 Lechleiter, Armin 12 Liu, Xiaodong 12 Mohamed, M. Shadi 12 Schötzau, Dominik 12 Wang, Xianchao 12 Yang, Chuanfu 11 Chandler-Wilde, Simon N. 11 Geuzaine, Christophe A. 11 Han, Jiayu 11 Moiola, Andrea 11 Rapún, María-Luisa 11 Schöps, Sebastian 11 Xu, Liwei 11 Yuan, Long 11 Zheng, Weiying 10 Barucq, Hélène 10 Kleefeld, Andreas 10 Lanteri, Stéphane 10 Li, Fengyan 10 Tezaur, Radek 10 Yousept, Irwin 10 Zhang, Deyue 9 Alonso Rodríguez, Ana 9 Duan, Huoyuan 9 Graham, Ivan G. 9 Harris, Isaac 9 Kirsch, Andreas 9 Ladevèze, Pierre 9 Liu, Jijun 9 Pelekanos, George 9 Riou, Hervé 9 Shu, Chi-Wang 9 Valli, Alberto 9 van Bockstal, Karel 9 Wang, Junping 9 Wu, Haijun 9 Yang, Jiaqing 9 Yao, Changhui 8 Burman, Erik 8 Christiansen, Snorre Harald 8 Cui, Jintao 8 Després, Bruno 8 Ganesh, Mahadevan 8 Gedicke, Joscha 8 Imperiale, Sébastien 8 Le Louër, Frédérique 8 Luo, Zhendong 8 Meddahi, Salim 8 Nguyen, Dinh Liem 8 Pardo, David 8 Park, Won-Kwang 8 Qiu, Weifeng 8 Qu, Fenglong ...and 2,252 more Authors all top 5 Cited in 209 Serials 198 Journal of Computational Physics 134 Computer Methods in Applied Mechanics and Engineering 127 Journal of Computational and Applied Mathematics 104 Journal of Scientific Computing 100 Computers & Mathematics with Applications 82 Mathematics of Computation 68 Numerische Mathematik 66 Inverse Problems 65 SIAM Journal on Numerical Analysis 60 SIAM Journal on Scientific Computing 56 Applied Numerical Mathematics 53 Applicable Analysis 50 Applied Mathematics and Computation 42 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 40 International Journal for Numerical Methods in Engineering 33 Inverse Problems and Imaging 32 Journal of Mathematical Analysis and Applications 32 Mathematical Methods in the Applied Sciences 32 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 27 SIAM Journal on Applied Mathematics 26 Numerical Methods for Partial Differential Equations 25 Advances in Computational Mathematics 21 Journal of Differential Equations 21 Communications in Computational Physics 20 SIAM Journal on Mathematical Analysis 20 Engineering Analysis with Boundary Elements 19 Journal of Inverse and Ill-Posed Problems 18 BIT 17 Wave Motion 17 Inverse Problems in Science and Engineering 15 Numerical Algorithms 15 SIAM Journal on Imaging Sciences 14 Journal of Mathematical Physics 14 Advances in Applied Mathematics and Mechanics 13 Science China. Mathematics 12 Journal de Mathématiques Pures et Appliquées. Neuvième Série 12 Journal of Computational Acoustics 11 Journal of Integral Equations and Applications 11 Computational Methods in Applied Mathematics 10 COMPEL 10 Applied Mathematical Modelling 10 Comptes Rendus. Mathématique. Académie des Sciences, Paris 9 Computational Mechanics 9 Computational and Applied Mathematics 9 Multiscale Modeling & Simulation 9 International Journal of Numerical Analysis and Modeling 9 Research in the Mathematical Sciences 8 Calcolo 8 Acta Mathematicae Applicatae Sinica. English Series 8 Numerical Linear Algebra with Applications 8 SN Partial Differential Equations and Applications 7 Mathematics and Computers in Simulation 7 International Journal of Computer Mathematics 7 Archives of Computational Methods in Engineering 7 Complex Variables and Elliptic Equations 6 Archive for Rational Mechanics and Analysis 6 Computing 6 Communications in Partial Differential Equations 6 Discrete and Continuous Dynamical Systems. Series B 6 Discrete and Continuous Dynamical Systems. Series S 6 Results in Applied Mathematics 5 Computer Physics Communications 5 ZAMP. Zeitschrift für angewandte Mathematik und Physik 5 Numerical Functional Analysis and Optimization 5 SIAM Journal on Control and Optimization 5 Applied Mathematics Letters 5 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 5 Computational Geosciences 5 Foundations of Computational Mathematics 5 Journal of Numerical Mathematics 5 Boundary Value Problems 5 SIAM/ASA Journal on Uncertainty Quantification 5 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 5 SMAI Journal of Computational Mathematics 4 Journal of Fluid Mechanics 4 Journal of Functional Analysis 4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 4 Proceedings of the Edinburgh Mathematical Society. Series II 4 Applied Mathematics and Mechanics. (English Edition) 4 Mathematical Problems in Engineering 4 European Journal of Mechanics. A. Solids 4 International Journal of Computational Methods 4 East Asian Journal on Applied Mathematics 3 Communications on Pure and Applied Mathematics 3 International Journal for Numerical Methods in Fluids 3 Journal of Mathematical Biology 3 Integral Equations and Operator Theory 3 Applications of Mathematics 3 Journal of Elasticity 3 Linear Algebra and its Applications 3 Calculus of Variations and Partial Differential Equations 3 Communications in Numerical Methods in Engineering 3 ETNA. Electronic Transactions on Numerical Analysis 3 International Journal of Numerical Modelling 3 Mathematical Modelling and Analysis 3 AIMS Mathematics 3 Electronic Research Archive 2 Computers and Fluids 2 Communications in Mathematical Physics 2 International Journal of Engineering Science ...and 109 more Serials all top 5 Cited in 46 Fields 1,496 Numerical analysis (65-XX) 1,274 Partial differential equations (35-XX) 929 Optics, electromagnetic theory (78-XX) 344 Fluid mechanics (76-XX) 251 Mechanics of deformable solids (74-XX) 60 Calculus of variations and optimal control; optimization (49-XX) 52 Integral equations (45-XX) 41 Ordinary differential equations (34-XX) 41 Operator theory (47-XX) 41 Statistical mechanics, structure of matter (82-XX) 35 Global analysis, analysis on manifolds (58-XX) 33 Geophysics (86-XX) 27 Potential theory (31-XX) 23 Computer science (68-XX) 22 Quantum theory (81-XX) 22 Information and communication theory, circuits (94-XX) 21 Biology and other natural sciences (92-XX) 20 Systems theory; control (93-XX) 19 Approximations and expansions (41-XX) 18 Statistics (62-XX) 17 Classical thermodynamics, heat transfer (80-XX) 12 Integral transforms, operational calculus (44-XX) 11 Harmonic analysis on Euclidean spaces (42-XX) 11 Probability theory and stochastic processes (60-XX) 10 Dynamical systems and ergodic theory (37-XX) 9 Functional analysis (46-XX) 8 Special functions (33-XX) 6 Linear and multilinear algebra; matrix theory (15-XX) 6 Functions of a complex variable (30-XX) 5 History and biography (01-XX) 5 Real functions (26-XX) 5 Mechanics of particles and systems (70-XX) 5 Relativity and gravitational theory (83-XX) 5 Astronomy and astrophysics (85-XX) 4 General and overarching topics; collections (00-XX) 4 Operations research, mathematical programming (90-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Difference and functional equations (39-XX) 2 Convex and discrete geometry (52-XX) 2 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 Geometry (51-XX) Citations by Year