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Research Output 2001 2018

  • 27 Article
  • 2 Conference contribution
  • 1 Other chapter contribution
2018

Convolution quadrature for the wave equation with a nonlinear impedance boundary condition

Banjai, L. & Rieder, A., 2018, In : Mathematics of Computation. 87, 312, p. 1783-1819 37 p.

Research output: Contribution to journalArticle

Open Access
File
Optimal Rates
Boundary Integral
Boundary Integral Equations
Acoustic Waves
Quadrature

Efficient high order algorithms for fractional integrals and fractional differential equations

Banjai, L. & Lopez-Fernandez, M., 24 Oct 2018, In : Numerische Mathematik. p. 1-29 29 p.

Research output: Contribution to journalArticle

Open Access
File
Integral-differential Equation
Fractional Integral
Fractional Differential Equation
Convolution
Quadrature

Runge-Kutta convolution coercivity and its use for time-dependent boundary integral equations

Banjai, L. & Lubich, C., 7 Jun 2018, In : IMA Journal of Numerical Analysis. p. 1-24 24 p.

Research output: Contribution to journalArticle

Open Access
File
Coercivity
Runge-Kutta
Boundary Integral Equations
Convolution
Time Discretization

Tensor FEM for spectral fractional diffusion

Banjai, L., Melenk, J. M., Nochetto, R. H., Otarola, E., Salgado, A. J. & Schwab, C., 29 Oct 2018, In : Foundations of Computational Mathematics. p. 1–62 62 p.

Research output: Contribution to journalArticle

2017

A Trefftz Polynomial Space-Time Discontinuous Galerkin Method for the Second Order Wave Equation

Banjai, L., Georgoulis, E. H. & Lijoka, O., Jan 2017, In : SIAM Journal on Numerical Analysis. 55, 1, p. 63-86 24 p.

Research output: Contribution to journalArticle

Open Access
File

Fast and oblivious algorithms for dissipative and two-dimensional wave equations

Banjai, L., Lopez-Fernandez, M. & Schadle, A., 15 Mar 2017, In : SIAM Journal on Numerical Analysis. 55, 2, p. 621-639 19 p.

Research output: Contribution to journalArticle

Wave equations
Quadrature
Time Domain
Wave equation
Tail
2015

Dissipation free low order convolution quadrature for TDBIE

Banjai, L., 2015, Proceedings of the 2015 International Conference on Electromagnetics in Advanced Applications (ICEAA). IEEE, p. 1210-1213 4 p. 7297310

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Convolution
convolution integrals
quadratures
dissipation
acoustic scattering

Fully discrete Kirchhoff formulas with CQ-BEM

Banjai, L., Laliena, A. R. & Sayas, F. J., 2015, In : IMA Journal of Numerical Analysis. 35, 2, p. 859-884 26 p.

Research output: Contribution to journalArticle

Acoustic waves
Laplace transforms
Boundary element method
Convolution
Numerical analysis

Stable numerical coupling of exterior and interior problems for the wave equation

Banjai, L., Lubich, C. & Sayas, F. J., Apr 2015, In : Numerische Mathematik. 129, 4, p. 611-646 36 p.

Research output: Contribution to journalArticle

Open Access
File
Wave equations
Wave equation
Interior
Stability Estimates
Helmholtz equation
2014

Fast convolution quadrature for the wave equation in three dimensions

Banjai, L. & Kachanovska, M., 2014, In : Journal of Computational Physics. 279, p. 103-126 24 p.

Research output: Contribution to journalArticle

Wave equations
Convolution
Boundary integral equations
Boundary layers
Scattering

Sparsity of Runge-Kutta convolution weights for the three-dimensional wave equation

Banjai, L. & Kachanovska, M., Dec 2014, In : BIT Numerical Mathematics. 54, 4, p. 901-936 36 p.

Research output: Contribution to journalArticle

Runge-Kutta
Wave equations
Convolution
Sparsity
Quadrature

Time-domain Dirichlet-to-Neumann map and its discretization

Banjai, L., Jul 2014, In : IMA Journal of Numerical Analysis. 34, 3, p. 1136-1155 20 p.

Research output: Contribution to journalArticle

2013

Numerical solution of exterior Maxwell problems by Galerkin BEM and Runge–Kutta convolution quadrature

Ballani, J., Banjai, L., Sauter, S. & Veit, A., 2013, In : Numerische Mathematik. 123, 4, p. 1-18 19 p.

Research output: Contribution to journalArticle

2012

Parallel multistep methods for linear evolution problems

Banjai, L. & Peterseim, D., 1 Jul 2012, In : IMA Journal of Numerical Analysis. 32, 3, p. 1217-1240

Research output: Contribution to journalArticle

Runge–Kutta convolution quadrature for the Boundary Element Method

Banjai, L., Messner, M. & Schanz, M., 1 Oct 2012, In : Computer Methods in Applied Mechanics and Engineering. 245-246, p. 90-101

Research output: Contribution to journalArticle

Wave Propagation Problems Treated with Convolution Quadrature and BEM

Banjai, L. & Schanz, M., 2012, Fast Boundary Element Methods in Engineering and Industrial Applications. Langer, U., Schanz, M., Steinbach, O. & Wendland, W. L. (eds.). Springer, Vol. 63. p. 145-184 40 p. (Lecture Notes in Applied and Computational Mechanics; vol. 63).

Research output: Chapter in Book/Report/Conference proceedingOther chapter contribution

2011

A family of efficient numerical solvers of time domain boundary integral equations

Banjai, L. & Zhang, Y., 2011, In : Proceedings of Forum Acusticum. p. 223-228 6 p.

Research output: Contribution to journalArticle

integral equations
convolution integrals
quadratures
acoustic scattering
electromagnetic scattering

An error analysis of Runge–Kutta convolution quadrature

Banjai, L. & Lubich, C., 25 Jan 2011, In : BIT Numerical Mathematics. 51, 3, p. 483-496 14 p.

Research output: Contribution to journalArticle

Efficient long-time computations of time-domain boundary integrals for 2D and dissipative wave equation

Banjai, L. & Gruhne, V., 15 May 2011, In : Journal of Computational and Applied Mathematics. 235, 14, p. 4207-4220 14 p.

Research output: Contribution to journalArticle

Runge–Kutta convolution quadrature for operators arising in wave propagation

Banjai, L., Lubich, C. & Melenk, J. M., 19 Apr 2011, In : Numerische Mathematik. 119, 1, p. 1-20 20 p.

Research output: Contribution to journalArticle

2010

Multistep and multistage convolution quadrature for the wave equation: Algorithms and experiments

Banjai, L., 1 Jan 2010, In : SIAM Journal on Scientific Computing. 32, 5, p. 2964–2994 31 p.

Research output: Contribution to journalArticle

2009

Fast solution techniques for the wave equation in unbounded domains

Sauter, S. & Banjai, L., 1 Sep 2009, ICEAA '09. International Conference on Electromagnetics in Advanced Applications, 2009.. IEEE, p. 1050-1053

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Rapid Solution of the Wave Equation in Unbounded Domains

Banjai, L. & Sauter, S., 1 Jan 2009, In : SIAM Journal on Numerical Analysis. 47, 1, p. 227-249 23 p.

Research output: Contribution to journalArticle

2008

FEM for elliptic eigenvalue problems: how coarse can the coarsest mesh be chosen? An experimental study

Banjai, L., Börm, S. & Sauter, S., 1 Sep 2008, In : Computing and Visualization in Science. 11, 4-6, p. 363-372

Research output: Contribution to journalArticle

Hierarchical matrix techniques for low- and high-frequency Helmholtz problems

Banjai, L. & Hackbusch, W., 2008, In : IMA Journal of Numerical Analysis. 28, 1, p. 46-79 34 p.

Research output: Contribution to journalArticle

Revisiting the crowding phenomenon in Schwarz–Christoffel Mapping

Banjai, L., 1 Jan 2008, In : SIAM Journal on Scientific Computing. 30, 2, p. 618-636 19 p.

Research output: Contribution to journalArticle

2007

A refined Galerkin error and stability analysis for highly indefinite variational problems

Banjai, L. & Sauter, S., 2007, In : SIAM Journal on Numerical Analysis. 45, 1, p. 37–53 17 p.

Research output: Contribution to journalArticle

Eigenfrequencies of fractal drums

Banjai, L., 1 Jan 2007, In : Journal of Computational and Applied Mathematics. 198, 1, p. 1-18 18 p.

Research output: Contribution to journalArticle

2003

A multipole method for Schwarz-Christoffel mapping of polygons with thousands of sides

Banjai, L. & Trefethen, L. N., 2003, In : SIAM Journal on Scientific Computing. 25, 3, p. 1042–1065 24 p.

Research output: Contribution to journalArticle

2001

Numerical solution of the omitted area problem of univalent function theory

Banjai, L. & Trefethen, L. N., 1 Sep 2001, In : Computational Methods and Function Theory. 1, 1, p. 259-273 15 p.

Research output: Contribution to journalArticle