A genius? I just love studying.

Chapter 220 A Sudden Insight in Class
Ren Woxing, from the Technology R&D Department of Youwei Group, personally walked into the laboratory and toured the 80-acre R&D center before storming into the conference room.

He was furious. Not long ago, he received news that Chen Hui had solved several problems in the industrialization of gallium oxide, and that Academician E Weinan had joined forces with the national team to complete the mass production of gallium oxide.

one day!
Based on the information he received, Chen Hui solved several problems in just one day.

Even if the information was incorrect, Chen Hui was involved from the very beginning, and it was only resolved a few days ago, which is still quite astonishing.

He invested hundreds of millions of yuan in the industrialization research and development of gallium oxide, and hundreds of people worked on it for more than a month, but they didn't see any results. In the end, he was not as good as someone else. Did he spend so much money on dogs?

How could he not be furious?

But he also knew that sometimes the difference between people was just that great, and he couldn't blame the company's researchers; Chen Hui was simply too extraordinary.

Even he never imagined that the industrialization of gallium oxide could proceed so quickly.

At this moment, people began to walk into the conference room. Once everyone had arrived, Ren Woxing spoke up, "The industrialization research on gallium oxide will be suspended for now. Xiao Deng and Xiao Sun, each of you take three people and come with me on a business trip."

"pause?"

"Now is the time to race against time; the research cannot stop!"

Xiao Deng, who was named, was actually a bald middle-aged man. Upon hearing this, he became so anxious that he almost said that Ren was senile.

Although the middle-aged man, Xiao Sun, did not speak, he clearly agreed with this statement.

"Several key issues have been resolved, and the industrialization of gallium oxide has made breakthrough progress."

“You’ll come with me on this business trip. Once the patent licensing agreement is finalized, you can also observe in their lab and try to learn something useful.”

Ren Woxing sighed softly, "Gold is easy to come by, but a good general is hard to find."

There were no outsiders in the meeting room, and he did not hide the news.

After a moment of silence, bald-headed Xiao Deng asked blankly, "Who is it?"

So many of them have been researching for over a month without any clue. Who is so resourceful that they suddenly made a breakthrough?
"We're going to Jiangcheng University on this business trip!"

Ren Woxing didn't say much. "Alright, meeting adjourned. You all need to get ready. You have one hour. Meet at the North Gate in one hour, and we'll depart immediately."

As Bald Deng said, now is the time to race against time.

He didn't need to say anything more; everyone already knew who it was.

When you mention Jiangcheng University these days, who else could it be but that person?!

No wonder Mr. Ren was so confident. He took them with him even before the patent licensing was finalized. It could only be that person.

"Okay, I'll get ready right now."

Bald Deng remained silent for a moment, then stepped out of the laboratory. Although Professor Ren did not blame them, he felt his face burning with embarrassment at having received so much experimental funding but not producing any results.

Xiao Sun responded and followed Xiao Deng out of the conference room. He was now extremely interested in Chen Hui, who had appeared in legends many times.

……

Santa Clara, California, USA, Nvidia headquarters, top-floor office.

Huang Renxun stood in the conference room, looking at these familiar faces, and was momentarily dazed.

Just two weeks ago, he had a meeting with these people here. Now, it's the same group of people, but his mood has changed drastically.

Jonah, the deputy head of the technology department, was crestfallen; he already knew the news.

"To save everyone's time, I'll keep it brief."

Huang Renxun said, "I'll go to China right away. We're determined to get the patent license, no matter the cost!"

"Who's in favor and who's opposed?"

These people are not only the company's backbone, but many of them are also company directors. He doesn't have time to convene a board meeting, nor does he need to. As long as the people present reach a consensus, that is the opinion of the board of directors.

……

Jiangcheng University, 3 PM
In the fifth teaching building's lecture hall, sunlight streamed through the blinds, casting dappled shadows on the blackboard.

Chen Hui was standing in front of the podium, chalk dust stuck to his wrist, muttering: "...So, the key to the Sobolev space W1,2(Ω) is the weak derivative - it does not require the function itself to be differentiable, but only requires the existence of an L2 function as the weak limit of its derivative."

For example, consider a piecewise smooth temperature field T(x) with a jump discontinuity at the interface x=0, but its weak derivative T/x can still be defined as the jump value of the derivatives of the two smooth segments at the interface…

A car pulled up outside the Fifth Teaching Building, and Ren Woxing led a large group of people out.

Wang Qiming followed, "Mr. Ren, Chen Hui is giving a lesson. Why don't we all go to the conference room and wait?"

They're still using someone else's supercomputing center, so Wang Qiming was naturally very polite to Mr. Ren.

"Attend class?"

Bald Deng perked up, "It just so happens that I also want to listen to Professor Chen's lecture."

Ren Woxing nodded, also showing some interest, and then said to Wang Qiming, "Dean Wang, would you mind if we audited a class?"

"Of course I don't mind."

Wang Qiming said with a smile, "But everyone should still be mindful of their noise and not disturb the students' classes."

"Everyone, please take off your leather shoes before going inside."

Ren Woxing suddenly remembered a story he had heard before and made a dry joke.

Those traveling with him were all around the same age, and they immediately understood Mr. Ren's dry humor and laughed along.

However, they were all wearing sneakers, so there was no need for them to actually take their shoes off.

So, the group chatted and laughed as they headed to the lecture hall.

They kept their promise; as they approached the lecture hall, everyone stopped talking, quietly entered the classroom, and sat down in the empty seats at the back.

As Chen Hui was lecturing, a student in the audience suddenly raised his hand and asked, "Professor Chen, if the interface is not a simple segmentation point, but a complex curved surface, such as the melt-solid interface in crystal growth, does the weak derivative still apply?"

Just as he said in the first lesson, he encouraged everyone to speak up at any time, and everyone had become accustomed to this teaching atmosphere.

"Good question!" Chen Hui gave the classmate a thumbs up, only to realize that the person asking the question was a bald middle-aged man who didn't really look like a classmate.

He also saw Wang Qiming and Elder Ren.

After a brief moment of surprise, Chen Hui began to answer, “At this point, we need to consider higher-dimensional Sobolev spaces, such as W1,2(Ω) in the three-dimensional region ΩR3. The definition of the weak derivative is extended to the surface integral—the transition on the interface will be weakened by the integral. As long as there exists an L2 function to describe the intensity of the transition, the weak derivative exists.”

but……"

As Chen Hui was speaking, he suddenly stopped, the chalk hanging in mid-air on the blackboard, his gaze passing through the classroom window as if piercing the barrier between theory and engineering.

"Wait a minute," Chen Hui's voice suddenly lowered.

He recalled a few days ago when he was studying gallium oxide wafer growth in the lab, and he kept having a headache over the numerical divergence of the interface stress field—the stress was singular near the interface, and traditional finite element discretization either resulted in oscillations or too much dissipation.

But if we use the weak derivative of Sobolev space to describe stress, can we transform the singularity into a weakly integrable transition?

"For example, the stress singularity σr1/2 at the solid-liquid interface, although not differentiable, may have a weak derivative that is integrable in a higher-order Sobolev space?"

Chen Hui muttered to himself, quickly writing on the blackboard with the chalk.
∫Ωablaσ:ablavdx=∫ΩσnvdS+interface transition term

"Yes! If we consider the interface as part of the boundary and embed the interface conditions (such as stress continuity) into the functional in a weak form, then when solving the minimum energy problem of the stress field, the interface singularity will be 'absorbed' into the integral of the weak derivative."

At this point, finite element discretization does not require forced smoothing at the interface; it only needs to ensure the convergence of the weak form—this may be the key to solving the numerical instability of interface modeling!

Chen Hui was greatly encouraged; he had found the key to unlocking the door to refined modeling of interfaces and boundaries!
Besides Chen Hui, the bald-headed Xiao Deng and Xiao Sun, who came with Elder Ren, were also staring intently at the blackboard. Having conducted research for more than a month, they were not entirely without results; at least, they had caught up with Chen Hui's train of thought.

"Does this mean that reconstructing interface constraints using the weak form of functional analysis allows numerical solvers to better 'tolerate' interface discontinuities?"

Bald-headed Xiao Deng said softly.

"That's right!"

In the quiet classroom, Chen Hui heard the whisper.

“In the past, we always thought of using finer meshes to capture interface details, but the computational cost exploded.”

Now, using the weak derivative of Sobolev space is equivalent to issuing a mathematical pass to discontinuous solutions—as long as they are integrable in the weak sense, they can be approximated by the finite element method.

The stress divergence problem that had been troubling him for several days was solved because the strong form required stress continuity, while the weak form allowed for abrupt changes at the interface, thus providing a stable solution…

Chen Hui continued to work out the steps on the blackboard.

Soon the blackboard was completely covered with formulas.

The students were also helpless; this was probably the downside of taking classes taught by top students—sometimes they genuinely couldn't understand a thing.

Sitting in the back row, bald-headed Xiao Deng and Xiao Sun were very excited. Chen Hui's explanation helped them understand the problem that had been troubling them for more than a month. This was indeed a breakthrough!
They just didn't expect that Chen Hui would talk about such profound, confidential and important content in class. These students at Jiangcheng University are eating too well!
He's even considering pursuing a doctorate at Jiangcheng University.

Your math level has improved from 4 (57%) to 58%.

Your Chemistry level has increased from 2 (91%) to 92%.

With comments flashing in front of him, Chen Hui never expected that he could have an epiphany in class.

Chen Hui put down the chalk, turned to look at the students, and smiled: "Today's homework, besides reviewing Sobolev spaces, I would like you to try to derive the stress equilibrium equation of the solid-liquid interface using weak form—perhaps next week, we can work together to write a more stable solver for the growth simulation of gallium oxide wafers!"

He won't need to wait until next week; he only needs a few hours to get back to solve the problem and remove another major obstacle on the road to gallium oxide industrialization.

Besides Xiao Deng and the others, Chloe and Li Zehan also understood the formulas Chen Hui wrote in the classroom, because they had been discussing this problem with Chen Hui for the past few days and had gained a deep understanding of it.

Outside the window, the setting sun bathed the formulas on the blackboard in gold. Chloe gazed at those once-absent symbols and suddenly felt that they were no longer just theorems in a textbook, but rather "mathematical keys" that allowed her to touch the flow of melts and the growth of crystals in the laboratory.

Jingle Bell……

The bell rang just then. He dusted off his hands with chalk dust and said, "Okay, get out of class dismissed!"

Ren Woxing couldn't understand the content of this lesson, but judging from the reactions of Xiao Deng and Xiao Sun, it was probably something extraordinary.

Only Wang Qiming knew that this problem had been troubling Chen Hui for several days. Unexpectedly, Chen Hui had gained inspiration in class. It seems that his decision to have Chen Hui teach the class was indeed the right one!

The bell rang, and the students left one after another, but Ren Woxing and his friends went against the flow and headed towards Chen Hui.

"It's only been a few days since I last saw Professor Chen, and he has already broadened my horizons once again. Truly, heroes emerge from among the young!"

Ren Woxing was the first to greet them.

"Mr. Ren is joking. What kind of hero am I? Mr. Ren is the real hero."

Having interacted with many people, Chen Hui can now say such things fluently.

"This is Sun Zhenglu, head of our Youwei Group Semiconductor Research Institute, and this is Chief Engineer Deng Jun..."

Ren Woxing briefly introduced his companions, then got straight to the point, saying, "I've come here today to discuss with you the matter of licensing the gallium oxide preparation process patent."

Deng Ting has completed the drafting of the patent, which has entered the final approval stage in China. The patent owner is naturally Chen Hui.

There are some differences between projects funded by the National Natural Science Foundation of China (NSFC) and projects funded by companies. Patents from projects funded by companies must belong to the company, but NSFC projects are much more lenient.

In addition, for reasons that cannot be disclosed to outsiders, the owner of this patent became Chen Hui. Of course, Chen Hui could only receive 70% of the profits, but this percentage far exceeded the standard figure anywhere.

The patent has not yet been fully approved, but according to the patent priority right, after an applicant files a patent application in a certain country for the first time, within the statutory period of 12 months for inventions/utility models and 6 months for designs, the applicant may file an application for the same technical subject in other countries or again in the country, and may claim that the date of the first application is the filing date of the subsequent applications.

As for the patent layout, Professor Xiao Meng is in charge, and Chen Hui doesn't need to worry about it. It is said that Professor Xiao Meng has also brought in professors from the Law School of Jiangcheng University to jointly manage Chen Hui's patent matters.

"You're not planning to talk in the classroom, are you?"

Wang Qiming interrupted their conversation, saying with a smile, "Let's talk in the conference room."

Ren Woxing did not refuse. This matter was indeed extremely urgent, but a few tens of minutes would not make a difference.

However, just as the group stepped out of the classroom, they saw a middle-aged man in a leather jacket striding briskly toward them.

The two groups spotted each other immediately.

When Huang Renxun saw Ren Woxing, his expression darkened, but he still walked over without stopping and said to Chen Hui, "Professor Chen, I would like to talk to you about patent licensing."

(End of this chapter)