On Wed, Sep 10, 2025 at 11:42 AM Wim Vanroose <[email protected]> wrote:

Dear,

We are developing novel subspace methods to deal with inequality bounds on the variables. ResQPASS, short for Residual Quadratic programming active set Subspace method, behaves asymptotically as a Krylov subspace. The paper is published in SISC and is available in https://urldefense.us/v3/__https://arxiv.org/abs/2302.13616__;!!G_uCfscf7eWS... <https://urldefense.us/v3/__https://arxiv.org/abs/2302.13616__;!!G_uCfscf7eWS!bnM-6GCLUYnx_bcmKoE5yD6ehhfMLkUeEB7g_LRq0OMhvkWuwolEBu_gw8jdqo-VxP43j8InK6Eb6X6U9g$> .

In the past we contributed several pipelined methods in KSP. But the current methods might also be of value for large scale optimization problems. We believe that the method will be very useful for contact problems and variational inequalities that model interacting mechanical systems.

Who should I contact to discuss the best strategy to add the solver?

That sounds great! I am currently working on variational inequalities for frictional contact (for earthquake systems). I would be happy to help you integrate these solvers. We are excited to test different formulations (the LVPP people are also talking to us). Let me know how I can help. Thanks, Matt

Wim Vanroose

-- What most experimenters take for granted before they begin their experiments is infinitely more interesting than any results to which their experiments lead. -- Norbert Wiener https://urldefense.us/v3/__https://www.cse.buffalo.edu/*knepley/__;fg!!G_uCf... <https://urldefense.us/v3/__http://www.cse.buffalo.edu/*knepley/__;fg!!G_uCfs... >