Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Fast mass lumped multiscale wave propagation modelling   In this paper, we investigate the use of a mass lumped fully explicit time
stepping scheme for the discretisation of the wave equation with underlying
material parameters that vary at arbitrarily fine scales. We combine the
leapfrog scheme for the temporal discretisation with the multiscale technique
known as Localized Orthogonal Decomposition for the spatial discretisation. To
speed up the method and to make it fully explicit, a special mass lumping
approach is introduced that relies on an appropriate interpolation operator.
This operator is also employed in the construction of the Localized Orthogonal
Decomposition and is a key feature of the approach. We prove that the method
converges with second order in the energy norm, with a leading constant that
does not depend on the scales at which the material parameters vary. We also
illustrate the performance of the mass lumped method in a set of numerical
experiments.

22
The categories of this paper are: chao-dyn
27
The categories of this paper are: comp-gas
28
The categories of this paper are: alg-geom
14
The categories of this paper are: math-ph
4
The categories of this paper are: cond-mat
29
The categories of this paper are: funct-an
23
The categories of this paper are: solv-int
34
The categories of this paper are: chem-ph
30
The categories of this paper are: q-alg
36
The categories of this paper are: cmp-lg
21
The categories of this paper are: adap-org
5
The categories of this paper are: gr-qc
11
The categories of this paper are: hep-lat
17
The categories of this paper are: q-fin
25
The categories of this paper are: patt-sol
19
The categories of this paper are: eess