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Research Output 2001 2018

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

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

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

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