How Long to Read Symmetric Discontinuous Galerkin Methods for 1-D Waves

How Long Does it Take to Read Symmetric Discontinuous Galerkin Methods for 1-D Waves?

It takes the average reader 1 hour and 45 minutes to read Symmetric Discontinuous Galerkin Methods for 1-D Waves by Aurora Marica

Assuming a reading speed of 250 words per minute. Learn more

Description

This work describes the propagation properties of the so-called symmetric interior penalty discontinuous Galerkin (SIPG) approximations of the 1-d wave equation. This is done by means of linear approximations on uniform meshes. First, a careful Fourier analysis is constructed, highlighting the coexistence of two Fourier spectral branches or spectral diagrams (physical and spurious) related to the two components of the numerical solution (averages and jumps). Efficient filtering mechanisms are also developed by means of techniques previously proved to be appropriate for classical schemes like finite differences or P1-classical finite elements. In particular, the work presents a proof that the uniform observability property is recovered uniformly by considering initial data with null jumps and averages given by a bi-grid filtering algorithm. Finally, the book explains how these results can be extended to other more sophisticated conforming and non-conforming finite element methods, in particular to quadratic finite elements, local discontinuous Galerkin methods and a version of the SIPG method adding penalization on the normal derivatives of the numerical solution at the grid points. This work is the first publication to contain a rigorous analysis of the discontinuous Galerkin methods for wave control problems. It will be of interest to a range of researchers specializing in wave approximations.

How long is Symmetric Discontinuous Galerkin Methods for 1-D Waves?

Symmetric Discontinuous Galerkin Methods for 1-D Waves by Aurora Marica is 104 pages long, and a total of 26,416 words.

This makes it 35% the length of the average book. It also has 32% more words than the average book.

How Long Does it Take to Read Symmetric Discontinuous Galerkin Methods for 1-D Waves Aloud?

The average oral reading speed is 183 words per minute. This means it takes 2 hours and 24 minutes to read Symmetric Discontinuous Galerkin Methods for 1-D Waves aloud.

What Reading Level is Symmetric Discontinuous Galerkin Methods for 1-D Waves?

Symmetric Discontinuous Galerkin Methods for 1-D Waves is suitable for students ages 10 and up.

Note that there may be other factors that effect this rating besides length that are not factored in on this page. This may include things like complex language or sensitive topics not suitable for students of certain ages.

When deciding what to show young students always use your best judgement and consult a professional.

Where Can I Buy Symmetric Discontinuous Galerkin Methods for 1-D Waves?

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