Research Output per year

## Personal profile

### Research interests

The broad area of my research is numerical analysis/computational mathematics. I work on

the development, rigorous analysis and efficient implementation of computational algorithms for

problems coming from physics and engineering.

My main specialist area is the acoustic and electromagnetic scattering of waves in

bounded and unbounded media. The numerical tools I use to approach these problems are boundary integral and finite element methods in frequency and time domain including also Trefftz space-time discontinuous Galerkin methods.

Further, I am active in the development and analysis of numerical eigenvalue computations and in computational complex analysis. Here I have worked on pseudospectral, finite element and multigrid methods.

## Fingerprint Dive into the research topics where Lehel Banjai is active. These topic labels come from the works of this person. Together they form a unique fingerprint.

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Co Author Network
Recent external collaboration on country level. Dive into details by clicking on the dots.

## Research Output 2001 2019

## 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 journal › Article

## 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 journal › Article

## A PDE approach to fractional diffusion: a space-fractional wave equation

Banjai, L. & Otárola, E., Sep 2019, In : Numerische Mathematik. 143, 1, p. 177-222 46 p.Research output: Contribution to journal › Article

## 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 journal › Article

## 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 journal › Article