L. Beirão da Veiga, F. Brezzi, A. Cangiani, G. Manzini, L. D. Marini, and A. Russo. *Basic Principles of Virtual Element Method. Mathematical Models and Methods in Applied Sciences*, 23(01):199–214, 2013.

L. Beirão da Veiga, F. Brezzi, L. D. Marini, and A. Russo. *Serendipity face and edge VEM spaces*. *Rendiconti Lincei - Matematica e Applicazioni*, 28(1):143–180, 2017.

L. Beirão Da Veiga, F. Brezzi, F. Dassi, L. D. Marini, and A. Russo. *A Family of Three-Dimensional Virtual Elements with Applications to Magnetostatics*. *SIAM Journal on Numerical Analysis*, 56(5):2940–2962, Jan. 2018.

L. Beirão da Veiga, F. Brezzi, F. Dassi, L. D. Marini, and A. Russo. *Lowest order Virtual Element approximation of magnetostatic problems*. *Computer Methods in Applied Mechanics and Engineering*, 332:343–362, 2018.

L. Beirão da Veiga, A. Russo, and G. Vacca. *The Virtual Element Method with curved edges*. *ESAIM: Mathematical Modelling and Numerical Analysis*, 53(2):375–404, Mar. 2019.

L. Beirão da Veiga, F. Dassi, G. Manzini, and L. Mascotto. *Virtual elements for Maxwell’s equations*. *Computers & Mathematics with Applications*, 116:82–99, June 2022.

A. Bendali. *Numerical Analysis of the Exterior Boundary Value Problem for the Time-Harmonic Maxwell Equations by a Boundary Finite Element Method Part 1: The Continuous Problem*. *Mathematics of Computation*, 43(167):29, July 1984a.

A. Bendali. *Numerical Analysis of the Exterior Boundary Value Problem for the Time-Harmonic Maxwell Equations by a Boundary Finite Element Method Part 2: The Discrete Problem*. *Mathematics of Computation*, 43(167):47, July 1984b.

A. Bendali, F. Collino, M. Fares, and B. Steif. *Extension to Nonconforming Meshes of the Combined Current and Charge Integral Equation*. *IEEE Transactions on Antennas and Propagation*, 60(10):4732–4744, Oct. 2012.

F. Brezzi, J. Douglas, and L. D. Marini. *Two families of mixed finite elements for second order elliptic problems*. *Numerische Mathematik*, 47(2):217–235, June 1985.

A. Buffa and S. H. Christiansen. *The electric field integral equation on Lipschitz screens: definitions and numerical approximation*. *Numerische Mathematik*, 94(2):229–267, 04 2003.

A. Buffa and P. Ciarlet. *On traces for functional spaces related to Maxwell’s equations Part I: An integration by parts formula in Lipschitz polyhedra*. *Mathematical Methods in the Applied Sciences*, 24(1):9–30, 01 2001a.

A. Buffa and P. Ciarlet. *On traces for functional spaces related to Maxwell’s equations Part II: Hodge decompositions on the boundary of Lipschitz polyhedra and applications*. *Mathematical Methods in the Applied Sciences*, 24(1):31–48, 01 2001b.

A. Buffa and R. Hiptmair. *Galerkin Boundary Element Methods for Electromagnetic Scattering*, volume 31, page 83–124. Springer Berlin Heidelberg, Berlin, Heidelberg, 2003.

A. Buffa, M. Costabel, and C. Schwab. *Boundary element methods for Maxwell’s equations on non-smooth domains*. *Numerische Mathematik*, 92(4):679–710, Oct. 2002a.

A. Buffa, M. Costabel, and D. Sheen. *On traces for H(curl,Ω) in Lipschitz domains*. *Journal of Mathematical Analysis and Applications*, 276(2):845–867, Dec. 2002b.

A. Buffa, R. Hiptmair, T. V. Petersdorff, and C. Schwab. *Boundary Element Methods for Maxwell Transmission Problems in Lipschitz Domains*. *Numerische Mathematik*, 95(3):459–485, Sept. 2003.

S. H. Christiansen. *Discrete Fredholm properties and convergence estimates for the electric field integral equation*. *Mathematics of Computation*, 73(245):143–167, 07 2003.

P. G. Ciarlet. *The Finite Element Method for Elliptic Problems*. Society for Industrial and Applied Mathematics, jan 2002.

B. Cockburn, G. E. Karniadakis, C.-W. Shu, M. Griebel, D. E. Keyes, R. M. Nieminen, D. Roosevelt, and T. Schlick, editors. *Discontinuous Galerkin Methods: Theory, Computation and Applications*, volume 11 of *Lecture Notes in Computational Science and Engineering*. Springer Berlin Heidelberg, Berlin, Heidelberg, 2000.

F. Collino, F. Millot, and S. Pernet. *Boundary-Integral Methods For Iterative Solution of Scattering Problems with Variable Impedance Surface Condition*. *Progress In Electromagnetics Research*, 80:1–28, 2008.

F. Dassi, A. Fumagalli, A. Scotti, and G. Vacca. *Bend 3d mixed virtual element method for Darcy problems*. *Computers & Mathematics with Applications*, 119:1–12, Aug. 2022.
L. Beirão da Veiga, F. Brezzi, A. Cangiani, G. Manzini, L. D. Marini, and A. Russo. *Basic Principles of Virtual Element Method. Mathematical Models and Methods in Applied Sciences*, 23(01):199–214, 2013.

L. Beirão da Veiga, F. Brezzi, L. D. Marini, and A. Russo. *Serendipity face and edge VEM spaces. Rendiconti Lincei - Matematica e Applicazioni*, 28(1):143–180, 2017.

L. Beirão Da Veiga, F. Brezzi, F. Dassi, L. D. Marini, and A. Russo. *A Family of Three-Dimensional Virtual Elements with Applications to Magnetostatics*. *SIAM Journal on Numerical Analysis*, 56(5):2940–2962, Jan. 2018.

L. Beirão da Veiga, F. Brezzi, F. Dassi, L. D. Marini, and A. Russo. *Lowest order Virtual Element approximation of magnetostatic problems*. *Computer Methods in Applied Mechanics and Engineering*, 332:343–362, 2018.

L. Beirão da Veiga, A. Russo, and G. Vacca. *The Virtual Element Method with curved edges*. *ESAIM: Mathematical Modelling and Numerical Analysis*, 53(2):375–404, Mar. 2019.

L. Beirão da Veiga, F. Dassi, G. Manzini, and L. Mascotto. *Virtual elements for Maxwell’s equations*. *Computers & Mathematics with Applications*, 116:82–99, June 2022.

A. Bendali. *Numerical Analysis of the Exterior Boundary Value Problem for the Time-Harmonic Maxwell Equations by a Boundary Finite Element Method Part 1: The Continuous Problem*. *Mathematics of Computation*, 43(167):29, July 1984a.

A. Bendali. *Numerical Analysis of the Exterior Boundary Value Problem for the Time-Harmonic Maxwell Equations by a Boundary Finite Element Method Part 2: The Discrete Problem*. *Mathematics of Computation*, 43(167):47, July 1984b.

A. Bendali, F. Collino, M. Fares, and B. Steif. *Extension to Nonconforming Meshes of the Combined Current and Charge Integral Equation*. *IEEE Transactions on Antennas and Propagation*, 60(10):4732–4744, Oct. 2012.

F. Brezzi, J. Douglas, and L. D. Marini. *Two families of mixed finite elements for second order elliptic problems*. *Numerische Mathematik*, 47(2):217–235, June 1985.

A. Buffa and S. H. Christiansen. *The electric field integral equation on Lipschitz screens: definitions and numerical approximation*. *Numerische Mathematik*, 94(2):229–267, 04 2003.

A. Buffa and P. Ciarlet. *On traces for functional spaces related to Maxwell’s equations Part I: An integration by parts formula in Lipschitz polyhedra*. *Mathematical Methods in the Applied Sciences*, 24(1):9–30, 01 2001a.

A. Buffa and P. Ciarlet. *On traces for functional spaces related to Maxwell’s equations Part II: Hodge decompositions on the boundary of Lipschitz polyhedra and applications*. *Mathematical Methods in the Applied Sciences*, 24(1):31–48, 01 2001b.

A. Buffa and R. Hiptmair. *Galerkin Boundary Element Methods for Electromagnetic Scattering*, volume 31, page 83–124. Springer Berlin Heidelberg, Berlin, Heidelberg, 2003.

A. Buffa, M. Costabel, and C. Schwab. *Boundary element methods for Maxwell’s equations on non-smooth domains*. *Numerische Mathematik*, 92(4):679–710, Oct. 2002a.

A. Buffa, M. Costabel, and D. Sheen. *On traces for H(curl,Ω) in Lipschitz domains*. *Journal of Mathematical Analysis and Applications*, 276(2):845–867, Dec. 2002b.

A. Buffa, R. Hiptmair, T. V. Petersdorff, and C. Schwab. *Boundary Element Methods for Maxwell Transmission Problems in Lipschitz Domains*. *Numerische Mathematik*, 95(3):459–485, Sept. 2003.

S. H. Christiansen. *Discrete Fredholm properties and convergence estimates for the electric field integral equation*. *Mathematics of Computation*, 73(245):143–167, 07 2003.

P. G. Ciarlet. *The Finite Element Method for Elliptic Problems*. Society for Industrial and Applied Mathematics, jan 2002.

B. Cockburn, G. E. Karniadakis, C.-W. Shu, M. Griebel, D. E. Keyes, R. M. Nieminen, D. Roosevelt, and T. Schlick, editors. *Discontinuous Galerkin Methods: Theory, Computation and Applications*, volume 11 of *Lecture Notes in Computational Science and Engineering*. Springer Berlin Heidelberg, Berlin, Heidelberg, 2000.

F. Collino, F. Millot, and S. Pernet. *Boundary-Integral Methods For Iterative Solution of Scattering Problems with Variable Impedance Surface Condition*. *Progress In Electromagnetics Research*, 80:1–28, 2008.

F. Dassi, A. Fumagalli, A. Scotti, and G. Vacca. *Bend 3d mixed virtual element method for Darcy problems*. *Computers & Mathematics with Applications*, 119:1–12, Aug. 2022.
M. A. Echeverri Bautista, F. Vipiana, M. A. Francavilla, J. A. Tobon Vasquez, and G. Vecchi. A Nonconformal Domain Decomposition Scheme for the Analysis of Multiscale Structures. *IEEE Transactions on Antennas and Propagation*, 63(8):3548–3560, Aug. 2015.

A. Ern and J.-L. Guermond. *Theory and Practice of Finite Elements*, volume 159 of *Applied Mathematical Sciences*. Springer New York, 2004.

A. Ern and J.-L. Guermond. *Finite Elements 1: Approximation and Interpolation*, volume 72 of *Texts in Applied Mathematics*. Springer International Publishing, Cham, 2021.

M. A. Francavilla, F. Vipiana, G. Vecchi, and D. R. Wilton. Hierarchical Fast MoM Solver for the Modeling of Large Multiscale Wire-Surface Structures. *IEEE Antennas and Wireless Propagation Letters*, 11:1378–1381, 2012.

C. Geuzaine and J. Remacle. Gmsh: A 3-D finite element mesh generator with built-in pre- and post-processing facilities. *International Journal for Numerical Methods in Engineering*, 79(11):1309–1331, Sept. 2009.

J. S. Hesthaven and T. Warburton. *Nodal Discontinuous Galerkin Methods*, volume 54 of *Texts in Applied Mathematics*. Springer New York, New York, NY, 2008.

N. Heuer and M. Karkulik. *Discontinuous Petrov-Galerkin boundary elements*. *Numerische Mathematik*, 135(4): 1011–1043, Apr. 2017.

N. Heuer and S. Meddahi. *Discontinuous Galerkin $S\hph$-BEM with quasi-uniform meshes*. *Numerische Mathematik*, 125(4):679–703, Dec. 2013.

N. Heuer and G. Salmerón. A nonconforming domain decomposition approximation for the Helmholtz screen problem with hypersingular operator. *Numerical Methods for Partial Differential Equations*, 33(1):125–141, Jan. 2017.

R. Hiptmair and C. Schwab. *Natural Boundary Element Methods for the Electric Field Integral Equation on Polyhedra*. *SIAM Journal on Numerical Analysis*, 40(1):66–86, 01 2002.

P. Houston, I. Perugia, A. Schneebeli, and D. Schötzau. Interior penalty method for the indefinite time-harmonic Maxwell equations. *Numerische Mathematik*, 100(3):485–518, May 2005.

B.-B. Kong and X.-Q. Sheng. A Discontinuous Galerkin Surface Integral Equation Method for Scattering From Multiscale Homogeneous Objects. *IEEE Transactions on Antennas and Propagation*, 66(4):1937–1946, Apr. 2018.

R. Kress. *Linear Integral Equations*, volume 82 of *Applied Mathematical Sciences*. Springer New York, New York, 2014.

M. Li, M. A. Francavilla, F. Vipiana, G. Vecchi, Z. Fan, and R. Chen. A Doubly Hierarchical MoM for High-Fidelity Modeling of Multiscale Structures. *IEEE Transactions on Electromagnetic Compatibility*, 56(5):1103–1111, Oct. 2014.

V. F. Martin, J. M. Taboada, and F. Vipiana. A Multi-Resolution Preconditioner for Nonconformal Meshes in the MoM Solution of Large Multiscale Structures. *IEEE Transactions on Antennas and Propagation*, 71(12): 9303–9315, Dec. 2023.

W. McLean and W. McLean. *Strongly Elliptic Systems and Boundary Integral Equations*. Cambridge University Press, 2000.

J. M. Melenk, A. Parsania, and S. Sauter. General DG-Methods for Highly Indefinite Helmholtz Problems. *Journal of Scientific Computing*, 57(3):536–581, Dec. 2013.

N.-A. Messai and S. Pernet. hp non-conforming a priori error analysis of an Interior Penalty Discontinuous Galerkin BEM for the Helmholtz equation. *Computers & Mathematics with Applications*, 80(12):2644–2675, Dec. 2020.

P. Monk. *Finite Element Methods for Maxwell's Equations*. Oxford University Press, Apr. 2003.

J.-C. Nedelec. *Acoustic and Electromagnetic Equations*, volume 144 of *Applied Mathematical Sciences*. Springer New York, New York, NY, 2001.

Z. Peng, K.-H. Lim, and J.-F. Lee. A Discontinuous Galerkin Surface Integral Equation Method for Electromagnetic Wave Scattering From Nonpenetrable Targets. *IEEE Transactions on Antennas and Propagation*, 61(7):3617–3628, July 2013.

Z. Peng, R. Hiptmair, Y. Shao, and B. MacKie-Mason. Domain Decomposition Preconditioning for Surface Integral Equations in Solving Challenging Electromagnetic Scattering Problems. *IEEE Transactions on Antennas and*
M. A. Echeverri Bautista, F. Vipiana, M. A. Francavilla, J. A. Tobon Vasquez, and G. Vecchi. A Nonconformal Domain Decomposition Scheme for the Analysis of Multiscale Structures. *IEEE Transactions on Antennas and Propagation*, 63(8):3548–3560, Aug. 2015.

A. Ern and J.-L. Guermond. *Theory and Practice of Finite Elements*, volume 159 of *Applied Mathematical Sciences*. Springer New York, 2004.

A. Ern and J.-L. Guermond. *Finite Elements 1: Approximation and Interpolation*, volume 72 of *Texts in Applied Mathematics*. Springer International Publishing, Cham, 2021.

M. A. Francavilla, F. Vipiana, G. Vecchi, and D. R. Wilton. Hierarchical Fast MoM Solver for the Modeling of Large Multiscale Wire-Surface Structures. *IEEE Antennas and Wireless Propagation Letters*, 11:1378–1381, 2012.

C. Geuzaine and J. Remacle. Gmsh: A 3-D finite element mesh generator with built-in pre- and post-processing facilities. *International Journal for Numerical Methods in Engineering*, 79(11):1309–1331, Sept. 2009.

J. S. Hesthaven and T. Warburton. *Nodal Discontinuous Galerkin Methods*, volume 54 of *Texts in Applied Mathematics*. Springer New York, New York, NY, 2008.

N. Heuer and M. Karkulik. *Discontinuous Petrov-Galerkin boundary elements*. *Numerische Mathematik*, 135(4): 1011–1043, Apr. 2017.

N. Heuer and S. Meddahi. *Discontinuous Galerkin $S\hph$-BEM with quasi-uniform meshes*. *Numerische Mathematik*, 125(4):679–703, Dec. 2013.

N. Heuer and G. Salmerón. A nonconforming domain decomposition approximation for the Helmholtz screen problem with hypersingular operator. *Numerical Methods for Partial Differential Equations*, 33(1):125–141, Jan. 2017.

R. Hiptmair and C. Schwab. *Natural Boundary Element Methods for the Electric Field Integral Equation on Polyhedra*. *SIAM Journal on Numerical Analysis*, 40(1):66–86, 01 2002.

P. Houston, I. Perugia, A. Schneebeli, and D. Schötzau. Interior penalty method for the indefinite time-harmonic Maxwell equations. *Numerische Mathematik*, 100(3):485–518, May 2005.

B.-B. Kong and X.-Q. Sheng. A Discontinuous Galerkin Surface Integral Equation Method for Scattering From Multiscale Homogeneous Objects. *IEEE Transactions on Antennas and Propagation*, 66(4):1937–1946, Apr. 2018.

R. Kress. *Linear Integral Equations*, volume 82 of *Applied Mathematical Sciences*. Springer New York, New York, 2014.

M. Li, M. A. Francavilla, F. Vipiana, G. Vecchi, Z. Fan, and R. Chen. A Doubly Hierarchical MoM for High-Fidelity Modeling of Multiscale Structures. *IEEE Transactions on Electromagnetic Compatibility*, 56(5):1103–1111, Oct. 2014.

V. F. Martin, J. M. Taboada, and F. Vipiana. A Multi-Resolution Preconditioner for Nonconformal Meshes in the MoM Solution of Large Multiscale Structures. *IEEE Transactions on Antennas and Propagation*, 71(12): 9303–9315, Dec. 2023.

W. McLean and W. McLean. *Strongly Elliptic Systems and Boundary Integral Equations*. Cambridge University Press, 2000.

J. M. Melenk, A. Parsania, and S. Sauter. General DG-Methods for Highly Indefinite Helmholtz Problems. *Journal of Scientific Computing*, 57(3):536–581, Dec. 2013.

N.-A. Messai and S. Pernet. hp non-conforming a priori error analysis of an Interior Penalty Discontinuous Galerkin BEM for the Helmholtz equation. *Computers & Mathematics with Applications*, 80(12):2644–2675, Dec. 2020.

P. Monk. *Finite Element Methods for Maxwell's Equations*. Oxford University Press, Apr. 2003.

J.-C. Nedelec. *Acoustic and Electromagnetic Equations*, volume 144 of *Applied Mathematical Sciences*. Springer New York, New York, NY, 2001.

Z. Peng, K.-H. Lim, and J.-F. Lee. A Discontinuous Galerkin Surface Integral Equation Method for Electromagnetic Wave Scattering From Nonpenetrable Targets. *IEEE Transactions on Antennas and Propagation*, 61(7):3617–3628, July 2013.

Z. Peng, R. Hiptmair, Y. Shao, and B. MacKie-Mason. Domain Decomposition Preconditioning for Surface Integral Equations in Solving Challenging Electromagnetic Scattering Problems. *IEEE Transactions on Antennas and*